Ncert -class 10 maths -AREAS RELATED TO CIRCLES Welcome to your Ncert -class 10 maths -AREAS RELATED TO CIRCLES 1. Assertion : The area of a sector of a circle with radius r is πr²Reason : Measure of the angle at the centre is 180° Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Assertion (A) is true but reason (R) is false. Assertion (A) is false but reason (R) is true. None 2. A race track is in the form of a ring whose inner and outer circumference are 437 m and 503 m respectively. The area of the track is 4935 sq. cm 23 sq. cm 66 sq. cm 9870 sq. cm None 3. The length of the minute hand of a clock is 14cm. The area swept by the minute hand in 5 minutes: 531/4 451/3 541/3 154/3 None 4. Area of a sector of a circle is 1/6 to the area of the circle. The degree major of the minor arc is? 90° 60° 30° 45° None 5. None 6. The diameter of a wheel is 1m. The number of revolutions it will make to travel a distance of 22km will be: 2800 7000 4000 5500 None 7. The perimeter of a circle is equal to that of a square, then the ratios of their areas is: 7:22 14:11 11:14 22:7 None 8. If the areas of two circles have a ratio of 4:9, Then the ratio of the perimeter of their semicircles are? 3:2 2:3 1:2 None 9. A copper wire, when bent in the form of a square, encloses an area of 484cm2. If the same wire bent in the form of a circle find the area enclosed by it (Use π = 3.14): 516cm² 526cm² 626cm² 616cm² None 10. Assertion : If the outer and inner diameter of a circular path is 10 m and 6 m then area of the path is 16π m²Reason : If R and r be the radius of outer and inner circular path, then area of path is π(R²− r²). Assertion (A) is false but reason (R) is true. Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Assertion (A) is true but reason (R) is false. None 11. It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be 15m 10m 24m 20m None 12. In a circle of diameter 42cm, if an arc subtends an angle of 60˚ at the centre then the length of arc is 11cm 44cm 22cm 33cm None 13. A Japanese fan can be made by sliding open its 7 small sections (or leaves) which are each in the form of sectors of a circle having central angle of 15°. If the radius of this fan is 24cm, find the area of this fan. 628cm² 528cm² 630cm² 572cm² None 14. The radii of two circles are 8 cm and 6 cm respectively. The radius of the circle whose area is equal to the sum of the areas of the two circles is: √22 10 22 √28 None 15. The radius of two circles are 19 cm and 9 cm. Then the radius of the circle which has circumference equal to the sum of the circumferences of the two circles is: none 10 units 442 units 28 units None 16. If the perimeter of a square has the same perimeter of a circle, then the ratio of their areas are? 13:22 22:13 14:11 11:14 None 17. There are three sectors of a circle with radius 7cm, making angle 60°,80° and 40°. at the center. The area of the shaded region is? 77 44 154 22 None 18. The area of a quadrant of a circle whose circumference is 22 cm 2.695 cm 96.25 cm 9.625 cm 6.925 cm None 19. Assertion (A): In a circle of radius 6 cm ,the angle of sector is60ºthen the area of sector is 132/7 cm²Reason (R): area of circle with radius r is πr² Assertion (A) is false but reason (R) is also false Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). Assertion (A) is true but reason (R) is false. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). None 20. The area of a circle which can be inscribed in a square of side 6cm is: 36π cm² 12π cm² 9π cm² 18π cm² None Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.
