Practice Questions for Geometry - Circles

1. CRE 1 - Basics | Geometry - Circles

What is the diameter (in cm) of a circle with area 36π cm²?

(a)
20 cm
(b)
12.5 cm
(c)
12 cm
(d)
6 cm

2. CRE 1 - Basics | Geometry - Circles

What is the circumference (in cm²) of a circle for which the ratio of the area and the circumference is 7 : 4? [Take π = 22/7]

(a)
44 cm
(b)
22 cm
(c)
15π cm
(d)
7π/2 cm

3. CRE 1 - Basics | Geometry - Circles

What is the area (in cm²) and the perimeter (in cm) of a quarter circle with radius 14 cm? [Take π = 22/7]

(a)
154, 50
(b)
98π, 50
(c)
49π, 22π
(d)
49π, 2π

4. CRE 1 - Basics | Geometry - Circles

What is the length of a chord which is at a distance of 6 cm from the center of a circle with radius 10 cm?

(a)
12 cm
(b)
16 cm
(c)
24 cm
(d)
18 cm

5. CRE 1 - Basics | Geometry - Circles

A chord subtends an angle of 100° at the center of a circle. What is the angle subtended by the chord in the major segment of the circle?

(a)
80°
(b)
160°
(c)
50°
(d)
260°

6. CRE 1 - Basics | Geometry - Circles

In the given circle with center O, AB and CD are two chords that intersect at point X. DX = 6 cm, CX = 8 cm, and BX = 4 cm. What is the radius of the circle?

(a)
12 cm
(b)
10 cm
(c)
8 cm
(d)
Can't be determined

7. CRE 1 - Basics | Geometry - Circles

What is the circumference of a circle whose area is equal to that of an equilateral triangle with perimeter P?

(a)
$\sqrt{(π \sqrt{3})} P$
(b)
$\sqrt{\sqrt{3}} P$
(c)
√3 P
(d)
$\frac{\sqrt{(π \sqrt{3})}}{3} P$

8. CRE 1 - Basics | Geometry - Circles

Radius of two smaller semicircles shown in the figure is 2 cm. What is the area (in cm²) of the shaded portion bounded by three semicircles as shown in the figure?

(a)
8π
(b)
16π - 1
(c)
8π - 1
(d)
None of these

9. CRE 1 - Basics | Geometry - Circles

In the given figure, O is the center of the circle. The sum of angles a and b is:

(a)
50°
(b)
100°
(c)
25°
(d)
Can't be determined
(e)
None of these

10. CRE 1 - Basics | Geometry - Circles

In the given figure, QR is the diameter of the circle. P and S are points on the circle such that ∠RPS = 50°. Find ∠SRQ.

(a)
30°
(b)
40°
(c)
50°
(d)
60°

11. CRE 1 - Basics | Geometry - Circles

What is the distance in cm between two parallel chords of length 16 cm and 12 cm in a circle of radius 10 cm?

(a)
15
(b)
18
(c)
14
(d)
None of these

12. CRE 1 - Basics | Geometry - Circles

In the figure AB and CD are two diameters of the circle intersecting such that ∠COB = 50°. E is any point on arc CB. Find ∠CEB?

(a)
165°
(b)
155°
(c)
145°
(d)
100°

13. CRE 1 - Basics | Geometry - Circles

In the adjoining figure, chord ED is parallel to the diameter AC of the circle. If angle CBE = 45°, then what is the value of angle DEC?

(a)
45°
(b)
65°
(c)
55°
(d)
30°
(e)
None of these

14. CRE 1 - Basics | Geometry - Circles

A truck has wheels of diameter 1.4 m. How many times must a wheel of the truck rotate to cover a distance of 1.1 km?

(a)
210
(b)
200
(c)
250
(d)
None of these

15. CRE 1 - Basics | Geometry - Circles

Two chords AB and CD of circle whose centre is O, meet at the point P inside the circle such that ∠AOC = 50°, ∠BOD = 40°. Then the value of ∠BPD is

(a)
60°
(b)
40°
(c)
45°
(d)
75°

16. CRE 1 - Basics | Geometry - Circles

In the figure given below, O is the center of the circle and ∠PQR = 100° and ∠STR = 105°. What is the value (in degrees) of ∠SOP?

(a)
80
(b)
45
(c)
65
(d)
50

CRE 1 - Basics | Geometry - Circles

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