Class 10 Practice – Level 3 – Set 1 – Areas Related to Circles

Total questions: 15

In the given figure, OACB is a quadrant of a circle with centre O and radius 3.5cm. If OD=2cm, find the area of the:

Topic: Area of a Quadrant

(i) quadrant $O A CB$ (ii) Shaded region

3.128 cm², 9.625 cm²

6.125 cm², 9.155 cm²

6.125 cm², 8.225 cm²

9.625 cm², 6.125 cm²

None

In the given figure, a square OABC is inscribed in a quadrant OPBQ. If OA=20cm, then find the area of the shaded region. (Use π=3.14)

Topic: Area of Square Inscribed in a Quadrant

228 cm²

252 cm²

325 cm²

265 cm²

None

AB and CD are arcs of two concentric circles of radii 21 cm and 7 cm and centre 'O'. If ∠AOB=30°, then find the area of the shaded region.

Topic: Area of Concentric Circles

122.667 cm²

102.667 cm²

112.567 cm²

132.467 cm²

None

In the given figure, ABC is a quadrant of a circle of radius 14cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region.

Topic: Area of a Quadrant and Semicircle

98 cm²

65 cm²

35 cm²

45 cm²

None

Find the area of the designed region in the figure common between the two quadrants of the circles of the radius 8 cm each.

Topic: Area of a Quadrant

36.48

45.48

38.48

96.48

None

Find the area of the shaded region in 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

45.25 cm²

30.96 cm²

34.56 cm²

56.25 cm²

None

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: Area of Arcs in an Equilateral Triangle

65.85 cm²

56.26 cm²

39.25 cm²

56.25 cm²

None

A circular pond has a diameter of 17.5 m. It is surrounded by a 2 m wide path. Find the cost of constructing the path at the rate of ₹25 per m².

Topic: Areas of Circles

₹8956.00

₹3061.50

₹3562.25

₹4561.50

None

In the given figure, ABCD is a trapezium with AB∥DC, AB=18 cm, DC=32 cm and distance between AB and DC=14 cm. If arcs of equal radii 7 cm with centres A, B, C, and D have been drawn, then, find the area of the shaded region of the figure.

Topic: Areas of Circular Segments

196 cm²

156 cm²

146 cm²

365 cm²

None

10.

Four circular cardboard pieces of radii 7 cm are placed on a paper in such a way that each piece touches other two pieces. Find the area of the portion enclosed between these pieces.

Topic: Areas of Circular Segments

42 cm²

52 cm²

62 cm²

92 cm²

None

11.

On a square cardboard sheet of area 784 cm², four congruent circular plates of maximum size are placed such that each circular plate touches the other two plates and each side of the square sheet is tangent to two circular plates. Find the area of the square sheet not covered by the circular plates.

Topic: Area of an Inscribed Square in a Circle

168 cm²

154 cm²

356 cm²

164 cm²

None

12.

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

25 cm

28 cm

16 cm

56 cm

None

13.

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: Areas of Circular Segments

125 cm²

375 cm²

254 cm²

154 cm²

None

14.

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?

Topic: Revolutions of a Wheel

4375

4338

5020

5523

None

15.

The cost of fencing a circular field at the rate of ₹ 24 per metre is Rs. 5280. The field is to be ploughed at the rate of ₹ 0.50 per m². Find the cost of ploughing the field (Take π = 22/7).

Topic: Areas of Circular Segments

₹ 1525

₹ 1925

₹ 3625

₹ 2025

None

1 out of 15

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Class 10 Practice – Level 3 – Set 1 – Areas Related to Circles

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