Class 10 Quiz Level 2 (Moderate) – Circles

Total questions: 20

The circumference of a circle is 39.6 cm. What should be value of the area?

Topic: Area of a Circle

Deselect Answer

145.36 sq.cm

254.69 sq.cm

45.12 sq.cm

124.74 sq.cm

None

What is the area of a circle whose circumference is 8π?

Topic: Area of a Circle

Deselect Answer

24 π

16 π

30π

14 π

None

An isosceles triangle ABC, with AB = AC, circumscribes a circle. the point of contact P bisects the base BC. Is it true or not?

Topic: Properties of Isosceles Triangle and Circle

Deselect Answer

True

False

Cannot be predicted

More information needed

None

In the given figure, AB and CD are common tangents to two circles of unequal radii. What can you say about AB and CD?

Topic: Common Tangents to Two Circles

Deselect Answer

AB is equal to CD

AB is not equaL to CD

AB is parallel to CD

None of the above

None

A sheet of paper is in the from of rectangular ABCD in which AB = 40 cm and AD = 28 cm. A semi-circular portion with BC as diameter is cut off. What should be the area of the remaining paper.

Topic: Area of Remaining Shape

Deselect Answer

$ \displaystyle \text{812 c}{{\text{m}}^{2}}$

$ \displaystyle \text{745 c}{{\text{m}}^{2}}$

$ \displaystyle \text{685 c}{{\text{m}}^{2}}$

$ \displaystyle \text{552 c}{{\text{m}}^{2}}$

None

In the given figure, AB is the diameter of a circle with centre O and AT is a tangent. If ∠AOQ = 58°, find ∠ATQ.

Topic: Angles in a Circle

Deselect Answer

61°

60°

80°

70°

None

If angle between two radii of a circle is 130°, the angle between the tangents at the ends of the radii is :

Topic: Tangent and Radius

Deselect Answer

90°

50°

70°

40°

None

In the given figure, BOA is a diameter of a circle and the tangent at a point P meets BA extended at T. If ∠PBO = 30°, then ∠PTA will be:

Topic: Angle Between Diameter and Tangent

Deselect Answer

30°

60°

90°

45°

None

The tangents drawn at the ends of a chord of a circle does not make equal angles with the chord.

Topic: Tangents and Angles with Chord

Deselect Answer

True

False

Cannot be determined

Incomplete information

None

10.

In the given figure, the pair of tangents AP and AQ drawn from an external point A to a circle with centre O are perpendicular to each other and length of each tangent is 5 cm. Then the radius of the circle is:

Topic: Length of Tangents

Deselect Answer

10 cm

7.5 cm

5 cm

2.5 cm

None

11.

The radius of the wheel of a vehicle is 42 cm. How many revolutions will it complete in a 19.8km long journey?

Topic: Revolutions of a Circular Wheel

Deselect Answer

5400

4500

2600

7500

None

12.

The circumference of a circle is 8cm. Find the area of the sector whose central angle is 72°

Topic: Area of a Sector of a Circle

Deselect Answer

$ \displaystyle 1.02\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 3.05\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 5.12\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 2.10\text{ c}{{\text{m}}^{2}}$

None

13.

A sheet of paper is in the from of rectangular ABCD in which AB = 40 cm and AD = 28 cm. A semi-circular portion with BC as diameter is cut off. Find the area of the remaining paper.

Topic: Area of Remaining Shape

Deselect Answer

$ \displaystyle 654\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 812\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 432\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 549\text{ c}{{\text{m}}^{2}}$

None

14.

Find the area of the sector of a circle having radius 6 cm and angle 30°. (Take π = 3.14)

Topic: Area of a Sector of a Circle

Deselect Answer

$ \displaystyle 8.96\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 9.42\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 7.38\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 5.98\text{ c}{{\text{m}}^{2}}$

None

15.

A circle touches all the four sides of a quadrilateral ABCD.Then the angles subtended at the centre of the circle by the opposite sides are ?

Topic: Tangents and Quadrilateral Properties

Deselect Answer

Equal

Complementary

Supplementary

None of these

None

16.

A circle inscribed in triangle ABC touches its sides AB, BC and AC at points D, E and F respectively. If AB = 12 cm, BC = 8 cm and AC = 10 cm, then find the lengths of AD.

Topic: Inradius and Lengths in a Triangle

Deselect Answer

4 cm

6 cm

7 cm

3 cm

None

17.

Find the perimeter of a semicircular protractor whose diameter is 14 cm.

Topic: Perimeter of a Semicircle

Deselect Answer

48 cm

56 cm

36 cm

24 cm

None

18.

A rope by which cow is tethered is increased from 16 m to 23 m. How much additional ground does it have now to graze?

Topic: Additional Grazing Area

Deselect Answer

$ \displaystyle638\text{ }{{\text{m}}^{2}}$

$ \displaystyle 587\text{ }{{\text{m}}^{2}}$

$ \displaystyle 858\text{ }{{\text{m}}^{2}}$

$ \displaystyle 769\text{ }{{\text{m}}^{2}}$

None

19.

The area of a circle is 98.56 $ \displaystyle \text{c}{{\text{m}}^{2}}$. Find its circumference.

Topic: Circumference of a Circle

Deselect Answer

25.3 cm

54.2 cm

35.2 cm

66.4 cm

None

20.

If two tangents inclined at an angle 60° are drawn to a circle of radius 3 cm, then the length of each tangent is

Topic: Tangent to a Circle

Deselect Answer

$ \displaystyle \dfrac{3}{2}\sqrt{3}$ cm

6 cm

3 cm

$ \displaystyle 3\sqrt{3}$ cm

None

1 out of 20

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Class 10 Quiz Level 2 (Moderate) – Circles

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