CBSE Class 10 Maths Chapter-12 Areas Related to Circles – Free PDF Download
Free PDF download of Important Questions with Answers for CBSE Class 10 Maths Chapter 12 – Areas Related to Circles prepared by expert Maths teachers from latest edition of CBSE(NCERT) books only by CoolGyan to score more marks in CBSE board examination.
CBSE Class 10 Maths Chapter-12 Areas Related to Circles Important Questions
CBSE Class 10 Maths Important Questions Chapter 12 – Areas Related to Circles
1 Mark Questions
Unless stated otherwise, take 
1. The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.
Ans. Let R be the radius of the circle which has circumference equal to the sum of circumferences of the two circles, then according to question,
R = 19 + 9
R = 28 cm
2. The circumference of a circular field is 528 cm. Then its radius is
(a) 42 cm
(b) 84 cm
(c) 72 cm
(d) 56 cm
Ans. (b) 84 cm
3. The circumference of a circle exceeds its diameter by 180 cm. Then its radius is
(a) 32 cm
(b) 36 cm
(c) 40 cm
(d) 42 cm
Ans. (d) 42 cm
4. Area of the sector of angle 60
of a circle with radius 10 cm is
(a) 
(b) 
(c) 
(d) none of there
Ans. (b)
5. Area of a sector of angle P of a circle with radius R is
(a) 
(b) 
(c) 
(d) 
Ans. (d)
6. If the sum of the circumferences of two circles with radii 
and
is equal to the circumference of a circle of Radius , then
(a) 
(b) 
(c) 
(d) None of these
Ans. (A)
7. If the perimeter of a circle is equal to that of a square, then the ratio of their area is
(a) 22:7
(b) 14:11
(c) 7:22
(d) 11:14
Ans. (c) 7:22
8. Area of a sector of angle
of a circle with radius R is
(a)
(b)
(c)
(d) 
Ans. d)
9. The circumference of a circular field is 154 m. Then its radius is
(a) 7 m
(b) 14 m
(c) 7.5 m
(d) 28 cm
Ans. (a) 7 m
10. If the perimeter of a circle is equal to that of a square, then the ratio of their area is
(a) 22:7
(b) 14:11
(c) 7:22
(d) 11:14
Ans. (c) 7:22
11. Area of a sector of angle 
of a circle with radius R is
(a)
(b)
(c)
(d)
Ans. d)
12. Area of the sector of angle 
of a circle with radius 10 cm is
(a)
(b)
(c)
(d) none of these
Ans. (b)
13. The area of a circle is 394.24 cm2. Then the radius of the circle is
(a) 11.4 cm
(b) 11.3 cm
(c) 11.2 cm
(d) 11.1 cm
Ans. (c) 11.2 cm
14. If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then
(a)
(b) 
(c)
(d) 
Ans. (a)
15. Circumference of a sector of angle P
of a circle with radius R is
(a)
(b)
(c)
(d)
Ans. (c)
16. If the perimeter and area of circle are numerically equal, then the radius of the circle is
(a) 2 units
(b) 
units
(c) 4 units
(d) 7 units
Ans. (a) 2 units
17. The radius of a circle is 
, then the area of the circle is
(a) 
(b) 
(c) 22
(d) 49
Ans. (d) 49
18. Area of a sector of angle Pof a circle with radius R is
(a)
(b)
(c)
(d)
Ans. (a)
19. The diameter of a circle whose area is equal to the sum of the area of the two circles of radii 24 cm and 7 cm is
(a) 31 cm
(b) 25 cm
(c) 62 cm
(d) 50 cm
Ans. (a) 31 cm
20. The circumference a circle is 528 cm. Then its area is
(a) 22,176
(b) 22,576
(c) 23,176
(d) 24,576
Ans. (a) 22,176