MCQ : Areas Related To Circles - 1 | 10 Questions MCQ Test

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This mock test of MCQ : Areas Related To Circles - 1 for Class 10 helps you for every Class 10 entrance exam. This contains 10 Multiple Choice Questions for Class 10 MCQ : Areas Related To Circles - 1 (mcq) to study with solutions a complete question bank. The solved questions answers in this MCQ : Areas Related To Circles - 1 quiz give you a good mix of easy questions and tough questions. Class 10 students definitely take this MCQ : Areas Related To Circles - 1 exercise for a better result in the exam. You can find other MCQ : Areas Related To Circles - 1 extra questions, long questions & short questions for Class 10 on EduRev as well by searching above.

QUESTION: 1

If the area of a circle is 154 cm², then its perimeter is

A.
11cm
B.
22 cm
C.
44 cm
D.
55 cm

Solution:

Given area of circle=154
⇒area of circle=πr²
=22/7 ×7×7.
=154
so radius of the circle=7cm
perimeter of circle=2πr
=2 ×22/7×7
=44cm
⇒perimeter of the circle=44 cm.

QUESTION: 2

The radii of two circles are 4 cm and 3 cm respectively. The diameter of the circle having area equal to the sum of the areas of the two circles (in cm)

A.
5
B.
1
C.
10
D.
14

Solution:

QUESTION: 3

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

A.
Area of the circle = Area of the square
B.
Area of the circle > Area of the square
C.
Area of the circle < Area of the square
D.
Nothing definite can be said about the relation between the areas of the circle and square

Solution:

QUESTION: 4

The perimeter (in cm) of a square circumscribing a circle of radius a cm, is

A.
8 a
B.
4 a
C.
2 a
D.
16

Solution:

Side of a square circumscribing a circle of radius a cm = diameter of circle = 2a cm
∴ Perimeter of the square = 4 x 2a = 8a cm

QUESTION: 5

The perimeter of a circle is equal to that of a square, then the ratio of their areas is

A.
22 : 7
B.
14 : 11
C.
1 : 22
D.
11 : 14

Solution:

QUESTION: 6

If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is

A.
4 units
B.
π units
C.
8 units
D.
2 units

Solution:

πr² - 2πr x 2 ⇒ r = 4 ⇒ 2r = 8 units

QUESTION: 7

The area of the circle that can be inscribed in a square of side 6 cm is

A.
36 π cm²
B.
18 π cm²
C.
12 π cm²
D.
9 π cm²

Solution:

QUESTION: 8

The diameter of a wheel is 1.26 m. The distance travelled in 500 revolutions is

A.
2670 m
B.
2880 m
C.
1980 m
D.
1596 m

Solution:

Radius of the wheel = 1.26/2 = 0.63 m
Distance travelled in one revolution

∴ Distance travelled in 500 revolutions
= 500 x 3.96 = 1980 m

QUESTION: 9

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

A.
56 cm
B.
42 cm
C.
28 cm
D.
16 cm

Solution:

Diameter of first circle = d₁ = 36 cm
Diameter of second circle = d₂ = 20 cm
∴ Circumference of first circle = πd₁ = 36π cm
Circumference of second circle = πd₂ = 20π cm
Now, we are given that,
Circumference of circle = Circumference of first circle + Circumference of second circle
πD = πd₁ + πd₂
⇒ πD = 36π + 20π
⇒ πD = 56π ⇒ D = 56
⇒ Radius = 56/2 = 28 cm