CBSE Class 10 Mathematics Circles Worksheet Set G

CIRCLES

a. 9 cm

b. 3 cm

c. 1 cm

d. 6 cm

14. Prove that parallelogram circumscribing a circle is a rhombus. 

Ans-

AREAS RELATED TO CIRCLES

KEY POINTS

1. Circle: The set of points which are at a constant distance from a fixed point in a plane is called a circle.R

2. Circumference: The perimeter of a circle is called its circumference.

3. Secant: A line which intersects a circle at two points is called secant of the circle.

4. Arc: A continuous piece of circle is called an arc of the circle.

5. Central angle: - An angle subtended by an arc at the center of a circle is called its central angle.

6. Semi-Circle: - A diameter divides a circle into two equal arcs. Each of these two arcs is called a semi-circle.

7. Segment: - A segment of a circle is the region bounded by an arc and a chord, of a circle.

8. Sector of a circle: The region enclosed by an arc of a circle and its two bounding radii is called a sector of the circle.

9. Quadrant: - One fourth of a circle/ circular disc is called a quadrant. The central angle of a quadrant is 900.

LEVEL-I

1. If the perimeter of a circle is equal to that of square, then the ratio of their areas is

i. 22/7

ii. 14/11

iii. 7/22

iv. 11/14

2. The area of the square that can be inscribed in a circle of 8 cm is

i. 256 cm²

ii. 128cm2

iii. 64√2cm²

iv. 64cm²

3. Area of a sector to circle of radius 36 cm is 54 cm² . Find the length arc of the corresponding arc of the circle is

i. 6

ii. 3

iii. 5

iv. 8

4. A wheel has diameter 84 cm. The number of complete revolution it will take to cover 792 m is.

i. 100

ii. 150

iii. 200

iv. 300

5. The length of an arc of a circle with radius 12cm is 10 cm. The central angle of this arc is.

i. 1200

ii. 60

iii. 750

iv. 1500

6. The area of a circle whose circumference π cm is

i. 11/2 cm²

ii. π/4 cm²

iii. π/2 cm²

iv. None of these

7. In figure ‘o’ is the centre of a circle. The area of sector OAPB is 5/18 of the area of the circle find x.

8. If the diameter of a semicircular protractor is 14 cm, then find its perimeter.

9. The diameter of a cycle wheel is 21cm. How many revolutions will it make to travel 1.98km?

10. The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.

LEVEL – II

1. Find the area of the shaded region in the figure if AC=24 cm ,BC=10 cm and o is the center of the circle (use A B C

2. The inner circumference of a circular track is 440m. The track is 14m wide. Find the diameter of the outer circle of the track. [Take=22/7]

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