Circumference and Area of a Circle Test

Result

Circumference and Area of a Circle Test - 2

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Question 1
1 / -0

Calculate the area of the remaining portion, after cutting two quadrants (quarter circles), each of radius 13 cm, from the two corners of a rectangle measuring 35 cm by 25 cm.

A
365.57 cm²

B
437.5 cm²

C
537.5 cm²

D
609.43 cm²
Question 2
1 / -0

A circle is inscribed in a square. Find the area enclosed between the circle and the square, if radius of the circle is 14 cm.

A
424 cm²

B
178 cm²

C
158 cm²

D
168 cm²
Question 3
1 / -0

In the given figure, each side of the square measures 14 cm. What is the difference between the areas of two given circles?

A
70 cm²

B
77 cm²

C
108 cm²

D
154 cm²
Question 4
1 / -0

In the given figure, AB and CD are diameters of circle with centre O and OA = 6 cm. Find the area of the shaded portion.

A
45 cm²

B
54.39 cm²

C
64.29 cm²

D
57.29 cm²
Question 5
1 / -0

Calculate the area of the shaded portion if AC = 30 cm.

A
100 cm²

B
95 cm²

C
195.53 cm²

D
96.43 cm²
Question 6
1 / -0

Find the area of the shaded portion in the figure.

A
55 cm²

B
52.7 cm²

C
71.6 cm²

D
54.6 cm²
Question 7
1 / -0

The radii of two concentric circles are 6 cm and 10 cm respectively. Find the area enclosed by the circles (shaded) as given in the figure.

A
186.24 cm²

B
197.33 cm²

C
227.42 cm²

D
201.14 cm²
Question 8
1 / -0

What is the area of the shaded portion in the given square?

A
38.02 cm²

B
28.12 cm²

C
48.21 cm²

D
47.12 cm²
Question 9
1 / -0

Find the area of the non-shaded portion given in the adjoining figure.

A
247.43 cm²

B
123.43 cm²

C
223.53 cm²

D
267.43 cm²
Question 10
1 / -0

In the given figure, the area of the shaded portion is 25% of the area of the non-shaded portion. Find the value of x.

A
80 m

B
30 m

C
50 m

D
60 m
Question 11
1 / -0

In the given figure, area of the shaded portion is 770 cm². If the diameter of the inner circle is 28 cm and the two circles are concentric, what is the radius of the outer circle?

A
3.5 cm

B
7 cm

C
10.5 cm

D
21 cm

E
14 cm
Question 12
1 / -0

A rectangle ABCD is inscribed in the circle as shown in the figure. If AB = 8 cm and AD = 15 cm, what is the area of the circle rounded to one decimal.
(use = 3.14)

A
907.5 cm²

B
706.5 cm²

C
254.4 cm²

D
226.9 cm²

E
200.9 cm²
Question 13
1 / -0

In the given figure, there are two concentric circles. Radius of larger circle is 3 times the radius of smaller circle. What is the ratio of the shaded area and the unshaded area?

A
1 : 8

B
1 : 9

C
8 : 1

D
9 : 1

E
1 : 3
Question 14
1 / -0

Cost of ploughing a circular field at 50 p per m² is Rs. 4928. What will be the cost of fencing the field at the rate of Rs. 12 per m?

A
Rs. 3936

B
Rs. 4045

C
Rs. 4254

D
Rs. 4224
Question 15
1 / -0

A wheel is moving at the rate of 140 revolutions per minute. If radius of the wheel measures 35 cm, what is the speed of the wheel per hour?

A
16.88 km

B
18.48 km

C
19.94 km

D
20.76 km

E
22.54 km