CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set E

Question. If the area of circle is numerically equal to twice its circumference, then the diameter of the circle is
(a) 4 units
(b) 6 units
(c) 8 units
(d) 12 units

Answer: C

Question. The area of a quadrant of a circle whose circumference is 25 cm is
(a) 24 cm²
(b) 28 cm²
(c) 32.5 cm²
(d) 38.5 cm²

Answer: D

Question. If area of quadrant of a circle is 38.5 cm², then its diameter is [Use π = 22/7]
(a) 10 cm
(b) 14 cm
(c) 21 cm
(d) None of the options

Answer: B

Question. The outer diameter and the inner diameter of a circular path are 728m and 700 m respectively. Find the area of the 22 circular path. (Use π = 22/7).   
(a) 45260 m²
(b) 25012 m²
(c) 31416 m²
(d) 19541 m²

Answer: C

Question. If the circumference of a circle is increased by 50%, by what percent will its area be increased?
(a) 75%
(b) 100%
(c) 125%
(d) 150%

Answer: C

Question. In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. The length of the arc is
(a) 11 cm
(b) 22 cm
(c) 27 cm
(d) 44 cm

Answer: B

Question. In a circle of diameter 42 cm,if an arc subtends an angle of 60° at the centre where π = 22/ 7 , then what will be the length of arc ?
(a) 11 cm
(b) 20 cm
(c) 22 cm
(d) 28 cm

Answer: C

Question. The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?
(a) 2275
(b) 2650
(c) 3815
(d) 4375

Answer: D

Question. The cost of fencing a circular field at the rate of ₹ 24 per metre is ₹ 5280. The radius of the field is
(a) 15 m
(b) 35 m
(c) 25 m
(d) 30 m

Answer: B

Question. A road which is 7 m wide surrounds a circular park whose circumference is 88 m. The area of the road is
(a) 220 m²
(b) 340 m²
(c) 550 m²
(d) 770 m²

Answer: D

Question. Four equal circles are described about the four corners of a square so that each of them touches two of the others. If each side of the square measures 14 cm, find the area of the remaining portion of the square apart from four circles in cm2 .
(a) 20
(b) 24
(c) 42
(d) 40

Answer: C

Question. The short and long hands of a clock are 4 cm and 6 cm long respectively. The sum of distances travelled by their tips in 2 days is
(a) 1148 cm
(b) 1426.35 cm
(c) 1910.85 cm
(d) None of the options

Answer: C

Question. The area of the circle, the circumference of which is equal to the perimeter of a square of side 11 cm is   
(a) 122 cm²
(b) 144 cm²
(c) 154 cm²
(d) 180 cm²

Answer: C

Question. What is the diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm?
(a) 20 cm
(b) 30 cm
(c) 50 cm
(d) 80 cm

Answer: C

Question. How many plants will be there in a circular bed whose outer edge measures 30 cm allowing 4 cm2 for each plant?
(a) 18
(b) 750
(d) 24
(d) 120

Answer: A

Question. In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Choose the correct choice as:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

Question. Assertion (A): If the circumference of a circle is 176 cm, then its radius is 28 cm.
Reason (R): Circumference = 2π × radius.

Answer: A

Question. Assertion (A): If the outer and inner diameter of a circular path is 10 m and 6 m respectively, then area of the path is 16 π m².
Reason (R): If R and r be the radius of outer and inner circular path respectively, then area of circular path = π (R² – r²)

Answer: A

Question. The area of a sector of a circle with radius 6 cm if angle of the sector is 60° is   
(a) 15, 2/ 3 cm²
(b) 16, 1/ 2 cm²
(c) 18, 6/ 7 cm²
(d) 19, 3/8  cm

Answer: C

Question. In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Choose the correct choice as:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

Question. Assertion (A): In a circle of radius 6 cm, the angle of a sector is 60°. Then the area of the sector is 18, 6/ 7 cm².
Reason (R): Area of the circle with radius r is πr².

Answer: B

Question. Assertion (A): The length of the minute hand of a clock is 7 cm. Then the area swept by the minute hand in 5 minute is 12, 5/ 6 cm².
Reason (R): The length of an arc of a sector of angle q and radius r is given by l = θ / 360 ° × 2πr 

Answer: B

Question. The cost of fencing a circular field at the rate of ₹ 24 per metre is ₹ 5280. The field is to be ploughed at the rate of ₹ 0.50 per m². The cost of ploughing the field is [Take π = 22/ 7]
(a) ₹ 1925
(b) ₹ 1650
(c) ₹ 2010
(d) ₹ 2525

Answer: A

Question. A piece of wire 22 cm long is bent into the form of an arc of a circle subtending an angle of 60° at its centre. The radius of the circle is [Take π = 7/22 ]
(a) 7 cm
(b) 14 cm
(c) 21 cm
(d) 28 cm

Answer: C

Question. The area of a ring shaped region enclosed between two concentric circles of radii20 cm and 15 cm is   
(a) 330 cm²
(b) 415 cm²
(c) 520 cm²
(d) 550 cm²

Answer: D

Question. Each wheel of a car makes 5 revolutions per second. If the diameter of a wheel is 84 cm, find the speed of the car in km/h.
(a) 48 km / h
(b) 32 km / h
(c) 41 km / h
(d) 25 km / h

Answer: A

Question. All the vertices of a rhombus lie on a circle. The area of the rhombus, if the area of the circle is 1256 cm2 is [Use π = 3.14]
(a) 300 cm²
(b) 600 cm²
(c) 800 cm²
(d) 900 cm²

Answer: C

Question. If the perimeter of a circle is equal to that of a square, then the ratio of their areas is
(a) 22 : 7
(b) 14 : 11
(c) 7 : 22
(d) 11 : 14

Answer: B

Question. The angle described by a minute hand in 5 minutes is
(a) 30°
(b) 60°
(c) 90°
(d) None of the options

Answer: A

Question. The area of circle whose circumference is 22 cm is
(a) 32/ 2 cm²
(b) 45/ 2 cm²
(c) 55/ 2 cm²
(d) 77/2 cm²

Answer: D

Question. In the given figure, PQ = 24 cm, PR = 7 cm and O is the centre of the circle. The area of the shaded portion is   
(a) 132.58 cm²
(b) 148.20 cm²
(c) 154.36 cm²
(d) 161.54 cm²

Answer: D

Areas Related to Circles

<1M>

1.If the diameter of circle be d, then area of circle is

(A) d2 (B) d/22 (C) (D) None of these

2.Radius of a circle is 42 cm. An arc subtends an angle of 60°. What is the length of arc ?

(A) 22 cm (B) 44 cm (C) 66 cm (D) 88 cm

3.Radii of two concentric circle is 7 cm and 14 cm. The shaded area between them is equal to

(A) 42 (B) 84 (C) 21 (D) None of these

4.The area of a sector of a circle is th of area of circle what is angle made by sector?

(A) 80° (B) 70° (C) 60° (D) None of these

5.The circumference of a circle exceedsits diameter by 16.8 cm. Find the radius of circle.

6.A sector is cut off from a circle of radius 28 cm. The angle of the sector is 120 degrees.Find the length

of arc and area.

7.The length of minute hand of a clock is 21 cm. Find the area swept by the clock in 2 minutes.

Please click the below link to access CBSE Class 10 Mathematics Worksheet - Areas related to Circles (4)