Class 10 Practice – Level 2 – Set 1 – Areas Related to Circles

Total questions: 25

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

Topic: Circle and Square

Area of the circle > Area of the square

Area of the circle < Area of the square

Area of the circle = Area of the square

Nothing definite can be said about the relation between the areas of the circle and square

None

The area of the square that can be inscribed in a circle of radius 8 cm is:

Topic: Circle Inscribed in a Square

128 cm²

154 cm²

254 cm²

325 cm²

None

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:

Topic: Circumferences of Circles

28 cm

25 cm

56 cm

16 cm

None

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 is:

Topic: Areas of Circles

50 cm

60 cm

70 cm

80 cm

None

Find the area of a sector of a circle of radius 28 cm and central angle 45°.

Topic: Areas of Sectors a Circle

308 cm²

305 cm²

205 cm²

352 cm²

None

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

Topic: Area of a Quarter Circle

254 cm²

154 cm²

125 cm²

365 cm²

None

Find the area of the flower bed (with semi-circular ends) as shown in the figure.

Topic: Properties of Area

348.2 cm²

208.72 cm²

158.5 cm²

458.572 cm²

None

In the given figure, AB is a diameter of the circle, AC=6 cm and BC=8 cm. Find the area of the shaded region. (Use π=3.14 )

Topic: Areas of Circles

34.5 cm²

54.5 cm²

64.5 cm²

65.5 cm²

None

Find the area of the shaded field as shown in the figure.

Topic: Properties of Area

(25 + 2π) cm²

(40 + 2π) m²

(36 + 2π) cm²

(32 + 2π) m²

None

10.

Find the area of the shaded region in the given figure.

Topic: Properties of Area

(248−4π) m²

(263−4π) m²

(365−4π) m²

(245−4π) m²

None

11.

Find the area of the shaded region in the given figure, where arcs drawn with centres A,B,C and D intersect in pairs at mid-point P,Q,R and S of the sides AB,BC,CD and DA, respectively of a square ABCD. (use π=3.14 )

Topic: Properties of Area

90.96 m²

60.66 cm²

40.96 cm²

30.96 cm²

None

12.

In the given figure, arcs are drawn by taking vertices A,B and C of an equilateral triangle of side 10 cm to intersect the sides BC,CA and AB at their respective mid-points D,E and F. Find the area of the shaded region. (Use π=3.14)

Topic: Properties of Area

69.25 cm²

49.25 cm²

39.25 cm²

29.25 cm²

None

13.

A circular park is surrounded by a road 21 m wide. If the radius of the park is 105 m, then what is the area of the road?

Topic: Properties of Area

12457 m²

63546 cm²

12548 m²

15246 cm²

None

14.

The diameters of front and rear wheels of a tractor are 80 cm and 2 m, respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions.

Topic: Revolutions of a Wheel

560

780

564

568

None

15.

Find the area of the designed region in the given figure that is common between two quadrants of circles of radius 7 cm each.

Topic: Properties of Area

25 cm²

28 cm²

30 cm²

35 cm²

None

16.

The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.

Topic: Areas of Circles

20 cm

30 cm

10 cm

40 cm

None

17.

Each wheel of a car is of diameter 80 cm. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?

Topic: Revolutions of a Wheel

4457 revolutions

4375 revolutions

4654 revolutions

3654 revolutions

None

18.

If the perimeter and the area of a circle are numerically equal, then the radius of the circle is:

Topic: Area of Circle from Perimeter

r = 2

r = 4

r = 6

r = 8

None

19.

A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding (i) Minor segment (ii) Major segment (Use π=3.14)

Topic: Area of Segments in a Circle

54.5 cm², 544.5 cm²

28.5 cm², 285.5 cm²

35.5 cm² 351.5 cm²

56.5 cm², 564.5 m²

None

20.

A chord of a circle of radius 15cm subtends an angle of 60° at the centre. Find the areas of the corresponding minor and major segments of the circle. (Use π=3.14 and $\displaystyle \sqrt{3}$ =1.73)

Topic: Area of Segments in a Circle

25.3256 cm², 686.0625 m²

15.3698 cm², 632.0625 cm²

20.4375 cm², 686.0625 cm²

20.4375 cm², 486.0524 cm²

None

21.

A horse is tied to a peg at one corner of a square shaped grass field of side 15m by means of a 5m long rope. Find (i) the area of that part of the field in which the horse can graze. (ii) The increase in the grazing area if the rope were 10m long instead of 5m. (Use π=3.14)

Topic: Areas of Sectors a Circle

20.654 m², 108.875 cm²

19.625 m², 98.125 m²

35.243 m², 85.875 m²

19.625 m², 85.854 m²

None

22.

If the circumference of a circle is 22 cm, then find (i) its area and (ii) area of its quadrant.

Topic: Area and Quadrant of a Circle

36.5 cm², 4.625 cm²

88.5 cm², 6.625 cm²

58.5 cm², 4.625 cm²

38.5 cm², 9.625 cm²

None

23.

To warn ships for underwater rocks, a lighthouse spreads a redcoloured light over a sector of angle 72 ∘ to a distance of 15 km. Find the area of the sea over which the ships are warned. [Use π=3.14]

Topic: Areas of Sectors a Circle

142.2 km²

356.1 km²

141.3 km²

253.2 km²

None

24.

A sector is cut from a circle of radius 21 cm. The angle of the sector is 150°. What is the length of its arc and area?

Topic: Areas of Sectors a Circle

56 cm, 895.5 cm²

55 cm, 577.5 cm²

45 cm, 564.5 cm²

35 cm, 546.5 cm²

None

25.

The diameter of a circular pond is 17.5 m. If is surrounded by a path of width 3.5 m, then the area of the path is:

Topic: Properties of Area

145 m²

231 m²

235 m²

241 m²

None

1 out of 25

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Class 10 Practice – Level 2 – Set 1 – Areas Related to Circles

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