Class 10 Quiz Level 2 (Moderate) – Area Related to Circles

Total questions: 20

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

Topic: Properties of Area

Deselect Answer

(248−4π) m²

(263−4π) m²

(365−4π) m²

(245−4π) m²

None

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

Topic: Circle and Square

Deselect Answer

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

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

Deselect Answer

69.25 cm²

49.25 cm²

39.25 cm²

29.25 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

Deselect Answer

34.5 cm²

54.5 cm²

64.5 cm²

65.5 cm²

None

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

Deselect Answer

560

780

564

568

None

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

Deselect Answer

20 cm

30 cm

10 cm

40 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

Deselect Answer

308 cm²

305 cm²

205 cm²

352 cm²

None

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

Deselect Answer

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

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

Deselect Answer

r = 2

r = 4

r = 6

r = 8

None

10.

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

Deselect Answer

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

11.

In the given figure, OE=20 cm. In sector OSFT, square GOEF is inscribed. Find the area of the shaded region. [Use π=3.14].

Topic: Area of a sector with an inscribed square

Deselect Answer

228 cm²

265 cm²

365 cm²

245 cm²

None

12.

The area of a sector of a circle of radius 28 cm and central angle 45° is:

Topic: Areas of Sectors a Circle

Deselect Answer

305 cm²

308 cm²

352 cm²

205 cm²

None

13.

Find the area of the shaded design in the given figure, where ABCD is a square of side 10 cm and semicircles are drawn with each side of the square as diameter. (Use π=3.14)

Topic: Area of a square with semicircles

Deselect Answer

57 cm²

56 cm²

67 cm²

65 cm²

None

14.

The largest triangle is inscribed in a semi-circle of radius r, then the area of that triangle is:

Topic: Triangle Inscribed in a Semi-Circle

Deselect Answer

r²

2r²

4r²

None

15.

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

Topic: Properties of Area

Deselect Answer

(325−4π)m²

(265−4π)m²

(245−4π)m²

(248−4π)m²

None

16.

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: Properties of Area

Deselect Answer

154 cm²

254 cm²

325 cm²

124 cm²

None

17.

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: Area of Circular Segments and Intersecting Arcs