WORKSHEET CLASS 10 AREAS RELATED TO CIRCLES

12. AREAS RELATED TO CIRCLES

1. What is the name of the line which intersects a circle at two distinct points?

2. What is the perimeter of a sector of a circle 90° and radius is 7 cm.     (ans 25 cm)

3. Find the area of a circle that can be inscribed in a square of side 10 cm.   (ans 25𝜋 sq cm)

4. Find the area of a minor segment of a circle of radius 14 cm, when its central angle is 60°. Also find the area of corresponding major segment.    

5. Find the area of a corresponding major sector of a circle of radius 28 cm and the central angle is 45°. (ans 2156 sqcm)

6. In the figure △ABC is in the semicircle, find the area of the shaded region given that AB = BC = 4 cm. (use 𝜋 = 3.14)  ans 4.56 sq cm

7. In the given figure △PQR is an equilateral triangle of side 8 cm and D, E, F are centres of circular arcs, each of radius 4 cm. Find the area of shaded region. (use 𝜋 = 3.14, √3 = 1.732)  ans 2.59 scm

8. In the given figure ABPC is a quadrant of a circle of radius 14 cm and a semicircle is drawn with BC as diameter. find the area of the shaded region. ans 56 sq cm

9. In the figure OABC is a quadrant of a circle of radius 7 cm. If OD = 4 cm, find the area of shaded region.

10. In the given figure, two concentric circles with centre O have radii 21 cm and 42 cm. If ❮AOB = 60°, find the area of the shaded region.  (ans 3465 sq cm)

11. In figure, PSR, RTQ and PAQ are three semicircles of  diameter 10 cm, 3 cm and 7 cm respectively. find the perimeter of shaded region.   (ans 31.4 apx )