{"id":25455,"date":"2020-03-10T15:00:11","date_gmt":"2020-03-10T09:30:11","guid":{"rendered":"https:\/\/kseebsolutions.guru\/?p=25455"},"modified":"2021-07-02T15:20:25","modified_gmt":"2021-07-02T09:50:25","slug":"kseeb-solutions-for-class-10-maths-chapter-5-additional-questions","status":"publish","type":"post","link":"https:\/\/kseebsolutions.guru\/kseeb-solutions-for-class-10-maths-chapter-5-additional-questions\/","title":{"rendered":"KSEEB Solutions for Class 10 Maths Chapter 5 Areas Related to Circles Additional Questions"},"content":{"rendered":"

Students can Download Class 10 Maths Chapter 5 Areas Related to Circles Additional Questions Questions, Notes Pdf, KSEEB Solutions for Class 10 Maths<\/a> helps you to revise the complete Karnataka State Board Syllabus and score more marks in your in examinations<\/p>\n

Karnataka State Syllabus Class 10 Maths Chapter 5 Areas Related to Circles Additional Questions<\/h2>\n

I. Multiple Choice Questions:<\/span><\/p>\n

Question 1.
\nThe radius of a circle is 5cm, then its area is
\na) 154 cm3<\/sup>
\nb) 1386 cm3<\/sup>
\nc) 169 cm3<\/sup>
\nd) 308 cm3<\/sup>
\nAnswer:
\na) 154 cm3<\/sup><\/p>\n

Question 2.
\nThe diameter of a semicircle is 4cm Its area is.
\na) \u03c0 cm2<\/sup>
\nb) 2\u03c0 cm2<\/sup>
\nc) 4\u03c0 cm2<\/sup>
\nd) 8\u03c0 cm2<\/sup>
\nAnswer:
\nb) 2\u03c0 cm2<\/sup><\/p>\n

Question 3.
\nThe radii of two concentric circles are 3cm and 2cm. the ratio of their areas.
\na) 3 : 4
\nb) 9 : 2
\nc) 9 : 4
\nd) 4 : 3
\nAnswer:
\nc) 9 : 4<\/p>\n

Question 4.
\nThe diameter of a circle whose area is equal to the areas of two circles of radii 24cm and 7cm is
\na) 25 cm
\nb) 31 cm
\nc) 28 cm
\nd) 50 cm
\nAnswer:
\nd) 50 cm<\/p>\n

Question 5.
\nThe radius of a circle is 21cm then its circumference is
\na) 66 cm
\nb) 33 cm
\nc) 132 cm
\nd) 99 cm
\nAnswer:
\nc) 132 cm<\/p>\n

Question 6.
\nFormula to find area of Quadrant is
\na) \\(\\frac{\\pi r^{2}}{2}\\)
\nb) \u03c0r2<\/sup>
\nc) \\(\\frac{\\pi r^{2}}{3}\\)
\nd) \\(\\frac{\\pi r^{2}}{4}\\)
\nAnswer:
\nd) \\(\\frac{\\pi r^{2}}{4}\\)<\/p>\n

Question 7.
\nFind the perimeter of a Quadrant of a circle of radius 7cm.
\na) 25 cm
\nb) 49 cm
\nc) 14 cm
\nd) 66 cm.
\nAnswer:
\na) 25 cm<\/p>\n

Question 8.
\nIf the perimeter and the area of a circle are equal numerically, then the diameter of the circle is.
\na) 8 units.
\nb) n units
\nc) 4 units
\nd) 2 units.
\nAnswer:
\nc) 4 units<\/p>\n

Question 9.
\nThe central angle of a Quadrant of a circle measures.
\na) 60\u00b0
\nb) 90\u00b0
\nc) 120
\nd) 30\u00b0
\nAnswer:
\nb) 90\u00b0<\/p>\n

Question 10.
\nThe measure of the central angle of a circle is.
\na) 360\u00b0
\nb) 180\u00b0
\nc) 270\u00b0
\nd) 90\u00b0
\nAnswer:
\na) 360\u00b0<\/p>\n

Question 11.
\nIf the diameter of a semi-circular protractor is 7cm, then its perimeter is
\na) 7 cm
\nb) 36 cm
\nc) 21 cm
\nd) 18 cm
\nAnswer:
\nd) 18 cm<\/p>\n

Question 12.
\nThe external and internal radius of a circular path are 5m and 3m respectively. The area of the circular path is.
\na) 87\u03c0 m2<\/sup>
\nb) 167\u03c0 m2<\/sup>
\nc) 157\u03c0 m2<\/sup>
\nd) 327\u03c0 m2<\/sup>
\nAnswer:
\nb) 167\u03c0 m2<\/sup><\/p>\n

Question 13.
\nFind the area of a ring-shaped region enclosed between two concentric circles of diameter 8cm and 6cm.
\na) 22 cm2<\/sup>
\nb) 44 cm2<\/sup>
\nc) 66 cm2<\/sup>
\nd) 88 cm2<\/sup>
\nAnswer:
\na) 22 cm2<\/sup><\/p>\n

\"KSEEB<\/p>\n

Question 14.
\nIf the perimeter of a circle is equal to that of a square, then the ratio of their areas is.
\na) 11 : 4
\nb) 22 : 7
\nc) 14 : 1
\nd) 7 : 22
\nAnswer:
\nc) 14 : 1<\/p>\n

Question 15.
\nThe area of circle whose circumference is 44cm is
\na) 77 cm2<\/sup>
\nb) 308 cm2<\/sup>
\nc) 168 cm2<\/sup>
\nd) 154 cm2<\/sup>
\nAnswer:
\nd) 154 cm2<\/sup><\/p>\n

Question 16.
\nA bicycle wheel makes 2500 revolutions in moving. 11km. Find the circumference of the wheel.
\na) 220 cm
\nb) 55 cm
\nc) 110 cm
\nb) 100 cm.
\nAnswer:
\nc) 110 cm<\/p>\n

Question 17.
\nThe minute hand of a clock is of length 4cm. then the angle swept by the minute hand in 15 minutes.
\na) 45\u00b0
\nb) 60\u00b0
\nc) 120
\nd) 90\u00b0
\nAnswer:
\nd) 90\u00b0<\/p>\n

Question 18.
\nThe perimeter of the sector with radius 10.5cm and sector angle 60\u00b0 is
\na) 23 cm
\nb) 32 cm
\nc) 35 cm
\nd) 28 cm
\nAnswer:
\nb) 32 cm<\/p>\n

Question 19.
\nThe radius of a semicircular protractor is 35m. then its perimeter.
\na) 90 m
\nb) 45 m
\nc) 180 m
\nd) I20 m.
\nAnswer:
\nc) 180 m<\/p>\n

Question 20.
\nThe area swept out by a horse tied in a rectangular grass field with a rope 8m long is
\na) 647\u03c0 m2<\/sup>
\nb) 327\u03c0 m2<\/sup>
\nc) 128\u03c0 m2<\/sup>
\na) 48\u03c0 m2<\/sup>
\nAnswer:
\na) 647\u03c0 m2<\/sup><\/p>\n

Question 21.
\nThe area (in cm2<\/sup>) of the circle that can be inscribed in a square of side 8cm is.
\na) 64\u03c0
\nb) 16\u03c0
\nc) 8\u03c0
\nd) 32\u03c0
\nAnswer:
\nb) 16\u03c0<\/p>\n

Question 22.
\nThe area of a circle that can be inscribed in a square, of side 10cm is
\na) 407\u03c0 cm2<\/sup>
\nb) 307\u03c0 cm2<\/sup>
\nc) 1007\u03c0 cm2<\/sup>
\nd) 257\u03c0 cm2<\/sup>
\nAnswer:
\nd) 257\u03c0 cm2<\/sup><\/p>\n

Question 23.
\nThe area of the largest triangle that can be inscribed in a semicircle of radius r is
\na) r2<\/sup>
\nb) 2r2<\/sup>
\nc) r2<\/sup>
\nd) 2r3<\/sup>
\nAnswer:
\na) r2<\/sup><\/p>\n

Question 24.
\nThe area of the largest square that can be inscribed in a circle of radius 12cm is.
\na) 24 cm2<\/sup>
\nb) 249 cm2<\/sup>
\nc) 288 cm2<\/sup>
\nd) 196 \\(\\sqrt{2}\\) cm2<\/sup>
\nAnswer:
\nc) 288 cm2<\/sup><\/p>\n

Question 25.
\nThe perimeter of a square circumscribing a circle of radius a unit is
\na) 2a units
\nb) 4a units
\nc) 8a units
\nd) 16a units.
\nAnswer:
\nc) 8 a units<\/p>\n

\"KSEEB<\/p>\n

II. Short Answer Questions:<\/span><\/p>\n

Question 1.
\nFind the area of the circle inscribed in a square of side b cm.<\/p>\n

\"KSEEB
\nAnswer:
\nDiameter of a circle = b ; r = b\/2
\n\"KSEEB<\/p>\n

Question 2.
\nFind the area of a square inscribed in a circle of radius a.
\n\"KSEEB
\nAnswer:
\nradius = a & diameter = 2a
\nDiagonal of square = 2a
\nAC2<\/sup> = AB2<\/sup> + BC2<\/sup>
\n(2a)2<\/sup> = (side)2<\/sup> + (side)2<\/sup>
\n4a2<\/sup> = 2side2<\/sup>
\n\"KSEEB
\nArea of square = side2 = 2a2.<\/p>\n

Question 3.
\nIf the diameter of semicircular protractor is 14 cm then find its perimeter.
\nAnswer:
\nPerimeter of semicircular protractor
\n= \u03c0r + diameter
\n= \\(\\frac{22}{7}\\) \u00d7 7 + 14 = 22 + 14 = 36 cm.<\/p>\n

Question 4.
\nFind the number of revolutions if circumference of a wheel is 22cm and travells a distance 110km.
\nAnswer:
\nNumber of revolutions
\n\"KSEEB<\/p>\n

Question 5.
\nIf circumference and the area of a circle are numerically equal, find the diameter of the circle
\nAnswer:
\n2\u03c0r = \u03c0r2<\/sup>
\n2r = r2<\/sup>
\nr = 2
\nd = 2r = 2 \u00d7 2 = 4 units.<\/p>\n

Question 6.
\nDifference between the circumference and radius of a circle is 37cm. Find the area of circle.
\nAnswer:
\n2\u03c0r – r = 37
\nr(2\u03c0 – 1) = 37
\npppppppp<\/p>\n

Question 7.
\nFind the radius the area of a circular playground is 22176m2<\/sup>
\nAnswer:
\nArea of circular playground = 22176 m2<\/sup>
\n\u03c0r2 = 22176
\n\\(\\frac{22}{7}\\) r2<\/sup> = 22176
\nr = 84 m<\/p>\n

\"KSEEB<\/p>\n

III. Long Answer Questions.<\/span><\/p>\n

Question 1.
\nThe area of a circular playground is 2217m2<\/sup>. Find the cost of fencing this ground at the rate of? 50 per\/m.
\nAnswer:
\nArea of circular playground<\/p>\n

\"KSEEB
\n= 44 x 12
\n= 528 m
\nCost of fencing this ground
\n= 528 x 50
\n= \u20b9 26400<\/p>\n

Question 2.
\nThe circumference of a circle exceeds the diameter by 16.8cm. Find the radius of the circle.
\nAnswer:
\nLet the radius of circle be r cm.
\n\u2234 Diameter = 2r cm
\ncircumference = 2\u03c0r cm
\ncircumference = 16.8 + Diameter
\n2\u03c0r = 16.8 + 2r
\n\"KSEEB
\nHence radius is 3.92 cm<\/p>\n

Question 3.
\nA race track is in the form of a ring whose inner circumference is 352m, and the outer circumference is 396 in. Find the width of the track.
\nAnswer:
\nInner circumference = 352m
\n27\u03c0r = 352m
\n\"KSEEB
\n\u2234 Width of track = R – r = 63 – 56 = 9m<\/p>\n

Question 4.
\nThe minute hand of a clock is 10cm long. Find the area of the face of the clock described by the minute hand between 10 AM and 10-30 AM.
\nAnswer:
\nAngle described by the minute hand in one minute = 6\u00b0
\n\u2234 Angle describes by minute hand between 10 AM and 10.30 Am = 30 minutes = 30 x 6 = 180\u00b0
\n\u2234 Area swept by the minute hand in 30 minutes
\n= Area of sector of circle radius 10cm
\n\"KSEEB<\/p>\n

Question 5.
\nA circle of radius 6cm is inscribed in a square as shown in the given figure. Find the shaded region.
\n\"KSEEB
\nAnswer:
\nFrom the figure, side of a square = Diameter of a circle = 2r
\n= 2 x 6 = 12cm
\n\u2234 Area of square = (side)2<\/sup>
\n= (12)2<\/sup> = 144cm2<\/sup>
\n\"KSEEB
\n\u2234 Area of the shaded region
\n= Area of square-Area of the circle
\n= 144 – 133.04
\n= 30.96 cm2<\/sup><\/p>\n

\"KSEEB<\/p>\n

Question 6.
\nFind the length of the arc that subtends an angle of 72\u00b0 at the centre of a circle of radius 5cm.
\nAnswer:
\n\"KSEEB<\/p>\n

Question 7.
\nIn the given figure, arcs are drawn by taking vertices A, B and C of an equilateral triangle of side 10cm as centers, to intersect the sides BC, CA and AB at their respective midpoints D,E and F. Find the area of the shaded region.
\n\"KSEEB
\nAnswer:
\n= \\(\\frac{1}{2}\\) (Side of equilateral \u2206le<\/sup>)
\n= \\(\\frac{1}{2}\\) \u00d7 10 = 5 cm
\nArea of shaded region
\n= Sum of areas of there equal sectors
\n\"KSEEB<\/p>\n

Question 8.
\nA paper is in the form of a rectangle ABCD in which AB = 18 cm and BC = 14cm. A semicircle with BC as diameter is cut off. Find the area of the remaining portion.
\n\"KSEEB
\nAnswer:
\n\u2234 Area of rectangle ABCD = l \u00d7 b
\n= AB \u00d7 BC
\n= 18 \u00d7 14 = 252 cm2<\/sup>
\nRadius of semicircle (r)
\n\"KSEEB
\nArea of the remaining portion
\n= 252 – 77
\n= 175cm2<\/sup><\/p>\n

\"KSEEB<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can Download Class 10 Maths Chapter 5 Areas Related to Circles Additional Questions Questions, Notes Pdf, KSEEB Solutions for Class 10 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your in examinations Karnataka State Syllabus Class 10 Maths Chapter 5 Areas Related to Circles Additional Questions …<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/25455"}],"collection":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/comments?post=25455"}],"version-history":[{"count":0,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/25455\/revisions"}],"wp:attachment":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media?parent=25455"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/categories?post=25455"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/tags?post=25455"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}