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CBSE Class 10 Mathematics Worksheet

UNIT VI: Mensuration - Areas related to circles

1.

Find the area of a sector of circle of radius 21 cm and central angle .

A) 924 sq cm B) 232 sq cm C) 462 sq cm D) None of these
2.

The area of the square that can be inscribed in a circle of radius 4 cm is ______.

A) B) C) D)
3.

State true/false:  Area of a segment of a circle is always less than the area of its corresponding sector.

A) True B) False
4.

Find the area of the shaded region in the given figure, if OD = 8 cm and OA = 14 cm.

A) 56 sq cm B) 49 sq cm C) 56 sq cm D) 98 sq cm
5.

Find the area of the shaded region in the given figure , where APD , AQB,  BRC and  CSD are semi-circles of diameter 14 cm, 3.5 cm, 7 cm and 3.5 cm respectively.

A) 86.625 sq cm B) 43.31 sq cm C) 152.32 sq cm D) None of these
6.

State True/False:  Area of a square inscribed in a circle of diameter a cm is sq cm.

A) True B) False
7.

A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20m × 16m, then the area of the field in which the cow can graze is:

A)

 154 m2

B)

 156 m2

C)

 158 m2

D)

 160 m2

8.

Area of the largest triangle that can be inscribed in a semi-circle of radius r units is ________.

A) B) C) D)
9.

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

A) B) C) D)
10.

If the sum of the circumferences of two circles with radii a and b is equal to the circumference of a circle of radius R, then ________

A) a + b = R B) a + b > R C) a + b < R D) None of these
11.

The cost of fencing a circular field at the rate of Rs 24 per metre is Rs 5280. The field is to be ploughed at the rate of Rs 1 per . Find the cost of ploughing the field.

A) Rs 3850 B) Rs 1925 C) Rs 7700 D) None of these
12.

A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20m × 16m, then the area of the field in which the cow can graze is:

A)

 154 m2

B)

 156 m2

C)

 158 m2

D)

 160 m2

13.

If the circumference of a circle and the perimeter of a square are equal, then ________.

A) Area of the circle = Area of the square B) Area of the circle < Area of the square C) Area of the circle > Area of the square D) None of these
14.

A chord of a circle of radius 12 cm subtends an angle of at the centre. Find the area of the corresponding segment of the circle.

A) 44.22 sq cm B) 88.44 sq cm C) 168.88 sq cm D) 22.11 sq cm
15.

A square is inscribed in a circular table cloth of radius 35 cm. If the cloth is to be coloured leaving the square . Find the area to be coloured.

A) 700 sq cm B) 1400 sq cm C) 2100 sq cm D) 2800 sq cm
16.

3Three horses are tethered with 7m long ropes at the three corners of a triangular field having sides 20m, 34m and 42 m. Find the area of the plot which can be grazed by the horses. Also, find the area of the plot which remains ungrazed.

A)

250

B)

265

C)

259

D)

350

17.

If the area of a circle is 154 cm2 , then its radius is ________.

A) 14 cm B) 7 cm C) 21 cm D) 3.5 cm
18.

The length of the minute hand of a clock is 7 cm. Find the area swept by the minute hand in 10 minutes.

19.

Area of a sector of central angle 120° of a circle is 3π cm2. Then the length of the corresponding arc of this sector is:

A)

5.8 cm

B)

6.1 cm

C)

6.3 cm

D)

6.8 cm

20.

The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm is

A)

56 cm

B)

42 cm

C)

28 cm

D)

16 cm

CBSE Class 10 Mathematics Worksheet

UNIT VI: Mensuration - Areas related to circles

Answers

1.
Option C
2.
Option D
3.
Option B
4.
Option C
5.
Option A
6.
Option B
7.
Option A
8.
Option A
9.
Option C
10.
Option A
11.
Option A
12.
Option A
13.
Option C
14.
Option B
15.
Option B
16.
Option C
17.
Option B

18.

25.67 sq cm

19.
Option C
20.
Option C

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