Class 10 Practice – Level 3 – Set 2 – Areas Related to Circles

Total questions: 15

All the vertices of a rhombus lie on a circle. Find the area of the rhombus, if area of the circle is 1256 cm². (Use π=3.14 )

Topic: Area of a Rhombus Inscribed in a Circle

800 cm²

400 cm²

500 cm²

600 cm²

None

The length of the minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time period 6:05 am and 6:40am.

Topic: Area and Radius of a Circle

45.81 cm²

25.63 cm²

56.56 cm²

78.28 cm²

None

The area of the shaded region in the given figure will be:

Topic: Area of Segments in a Circle

(180 - 8π) m²

(245 - 4π) cm²

(180 - 8π) cm²

(210 - 9π) cm²

None

Find the number of revolutions made by a circular wheel of area 1.54 m² in rolling a distance of 176 m.

Topic: Revolutions of a Wheel

None

The difference of the areas of a sector of angle 120° and its corresponding major sector of a circle of radius 21 cm will be:

Topic: Areas of a Sector and a Major Sector

462 cm²

546 cm²

235 cm²

124 cm²

None

What will be the diameter of a circle whose area is equal to the sum of the areas of the two circles of diameters 20 cm and 48 cm?

Topic: Area of a Circle Using Diameters

50 cm

25 cm

52 cm

33 cm

None

In the given figure, a circle of radius 7.5 cm is inscribed in a square. Find the area of the shaded region. (Use π=3.14)

Topic: Area of an Inscribed Square in a Circle

48.375 cm²

45.652 cm²

75.365 cm²

85.651 cm²

None

A calf is tied with a rope of length 6 m at the corner of a square grassy lawn of side 20 m. If the length of the rope is increased by 5.5 m, find the increase in area of the grassy lawn in which the calf can graze.

Topic: Areas of Circular Segments

75.625 m²

45.625 m²

25.625 m²

36.625 m²

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

58 cm²

68 cm²

78 cm²

None

10.

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. Find the cost of ploughing the field (Take π= $\displaystyle \dfrac{22}{7}$ ).

Topic: Areas of Circular Segments

₹1565

₹1925

₹2232

₹2000

None

11.

Find the area of the sector of a circle with radius 4 cm and of angle 30° . Also, find the area of the corresponding major sector (Use π=3.14 ).

Topic: Areas of a Sector and a Major Sector

26.1 cm²

25.1 cm²

46.1 cm²

36.1 cm²

None

12.

A round table cover has six equal designs as shown in the figure. If the radius of the cover is 28 cm, find the cost of making the designs at the rate of ₹ 0.35 per cm². (Use π= 3.14)

Topic: Areas of Circular Segments

₹ 192.56

₹ 202.36

₹ 162.66

₹ 150.66

None

13.

Find the area of the shaded region in the given figure, if radii of the two concentric circles with center O are 7cm and 14cm respectively and ∠AOC=40°.

Topic: Area of Concentric Circles

$\displaystyle \dfrac{145}{3}$ cm²

$\displaystyle \dfrac{154}{3}$ cm²

$\displaystyle \dfrac{365}{6}$ cm²

$\displaystyle \dfrac{194}{5}$ cm²

None

14.

Calculate the area other than the area common between two quadrants of circles of radius 16 cm each which is shown as the shaded region in the given figure.

Topic: Properties of Area

206.20 cm²

230.20 cm²

109.20 cm²

369.20 cm²

None

15.

In the given figure, O is the centre of a circle such that diameter AB = 13 cm and AC = 12 cm. BC is joined. Find the area of the shaded region. (Use π = 3.14)

Topic: Properties of Area

16.87 cm²

28.56 cm²

36.33 cm²

36.92 cm²

None

1 out of 15

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Class 10 Practice – Level 3 – Set 2 – Areas Related to Circles

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