Test: Area & Perimeter of A Circle - Class 10 MCQ

# Test: Area & Perimeter of A Circle - Class 10 MCQ

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## 25 Questions MCQ Test Mathematics (Maths) Class 10 - Test: Area & Perimeter of A Circle

Test: Area & Perimeter of A Circle for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation. The Test: Area & Perimeter of A Circle questions and answers have been prepared according to the Class 10 exam syllabus.The Test: Area & Perimeter of A Circle MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Area & Perimeter of A Circle below.
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Test: Area & Perimeter of A Circle - Question 1

### A wire is bent in the form of a circle of radius 28 cm. It is bent to form a square. The length of the side of the square will be​

Detailed Solution for Test: Area & Perimeter of A Circle - Question 1

Circumference of a circle = 2πr
= 2*22/7*28
= 2*22*4
= 176
now, perimeter of square = circumference of a circle = 176
Therefore, side of square = perimeter/4
= 176/4
= 44 answer.

Test: Area & Perimeter of A Circle - Question 2

### The radius of a circle if its perimeter and area are numerically equal is​

Detailed Solution for Test: Area & Perimeter of A Circle - Question 2

Perimeter of circle = 2πr
Area of circle= πr2
Perimeter = Area
2πr= πr2
2= πr2/r
πr gets cancelled
So r = 2 units

Test: Area & Perimeter of A Circle - Question 3

### The diameter of a cycle wheel is 28 cm. The number of revolutions it makes in moving 13.2 km is​

Detailed Solution for Test: Area & Perimeter of A Circle - Question 3

Test: Area & Perimeter of A Circle - Question 4

Find the circumference of the circle, whose area is 144π cm2

Detailed Solution for Test: Area & Perimeter of A Circle - Question 4

The area should be 144π,
,Area of the circle= πr2
144π = πr2
r = 12cm
Circumference=2πr = 24πcm

Test: Area & Perimeter of A Circle - Question 5

The area of a circular pizza is 616 cm2. Its diameter is​

Test: Area & Perimeter of A Circle - Question 6

The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 40 cm and 9 cm is:​

Detailed Solution for Test: Area & Perimeter of A Circle - Question 6

Area of the circle = sum of area of two circles

Test: Area & Perimeter of A Circle - Question 7

The area of a circle with diameter 6 m exceeds the combined areas of circles with diameters 4m and 2 m by​

Test: Area & Perimeter of A Circle - Question 8

The area of a circular plot is 9856 sq. m. The cost of fencing the plot at the rate of Rs. 6 per meter will be​

Test: Area & Perimeter of A Circle - Question 9

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

Detailed Solution for Test: Area & Perimeter of A Circle - Question 9

Let ABCD is a square circumscribing a circle of radius a cm.
The side of square ABCD = Diameter of circle
⇒AB=2a
Therefore, perimeter of square AB=4×AB=4×2a=8 cm

Test: Area & Perimeter of A Circle - Question 10

If the circumference of a circle increases from 2 to 4 then its area is

Test: Area & Perimeter of A Circle - Question 11

A sector of a circle of radius 10.5 cm subtends an angle of 45° at the centre of the circle as in adjoining figure. Find the perimeter of sector.

Test: Area & Perimeter of A Circle - Question 12

If the side of an equilateral triangle and the radius of a circle are equal, find the ratio of their areas.

Test: Area & Perimeter of A Circle - Question 13

The radii of two circles are 19 cm and 9 cm respectively. The radius of the circle which has its circumference equal to the sum of the circumferences of the two circles is:​

Test: Area & Perimeter of A Circle - Question 14

The sum of the diameters of two circles is 280 cm and the difference of their circumferences is 88 cm. Then the larger of the two radii is​

Test: Area & Perimeter of A Circle - Question 15

If the perimeter and area of a circle are numerically equal, then the radius of the circle is​

Test: Area & Perimeter of A Circle - Question 16

If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then

Detailed Solution for Test: Area & Perimeter of A Circle - Question 16

Area of circle with radius R= πR12
Area of circle with radius R= πR22
Area of circle with radius R = πR2
Area of circle with radius R1+Area of circle with radius R2 =Area of circle with radius R
πR1+ πR22=πR2
R12+R22=R2

Test: Area & Perimeter of A Circle - Question 17

If the difference between the circumference and the radius of a circle is 37 cm, then using π = 22/7, the circumference (in cm) of the circle is:​

Test: Area & Perimeter of A Circle - Question 18

The length of the line that marks out a circle and its region is the

Detailed Solution for Test: Area & Perimeter of A Circle - Question 18

Circumference means the distance around something. Circumference of the circle or perimeter of the circle is the measurement of the boundary across any two-dimensional circular shape including circle. If we open a circle and make a straight line out of it, then its length is the circumference.

Test: Area & Perimeter of A Circle - Question 19

If C is the circumference of a circle of radius r, then perimeter of one of the quadrants will be​

Test: Area & Perimeter of A Circle - Question 20

If the diameter of semicircular protractor is 14 cm, then its perimeter is:​

Detailed Solution for Test: Area & Perimeter of A Circle - Question 20

Diameter=14, Radius=d/2=14/2=7cm
Perimeter of the semi- circle= Boundary of the semi-circle =Circumference of the semi-circle +Diameter= πr+D=

Test: Area & Perimeter of A Circle - Question 21

The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is​

Test: Area & Perimeter of A Circle - Question 22

If the perimeter of a sector of a circle of radius 5.2 cm. is 16.4 cm. What multiple of the radius is the area of the sector?​

Detailed Solution for Test: Area & Perimeter of A Circle - Question 22

We have perimeter=16.4cm
2r+arc=16.4
Arc=16.4-10.4=6cm
Area = ½*r*Arc=½*r*6=3rd which is three times r so B is the answer.

Test: Area & Perimeter of A Circle - Question 23

A garden roller has a circumference of 4 m. The number of revolutions it makes in moving 40 metres are:

Detailed Solution for Test: Area & Perimeter of A Circle - Question 23

We have circumference which is equal to the boundary of the circle. So we have one revolution equal to circumference of the circle which is equal to 4
Distance covered by the roller=circumference of the roller*number of revolutions
⇒ number of revolutions = distance covered by the roller/circumference of the roller
= 40/4 = 10

Test: Area & Perimeter of A Circle - Question 24

The shaded part of the circle in the given figure represents a

Test: Area & Perimeter of A Circle - Question 25

The ratio of radii of two circles is in the ratio of 1:5. Calculate the ratio of their perimeters.​

Detailed Solution for Test: Area & Perimeter of A Circle - Question 25

The perimeter (circumference) of a circle is directly proportional to its radius. The formula for the perimeter (P) of a circle is P = 2πr, where r is the radius.

If the ratio of the radii of two circles is 1:5, then the ratio of their perimeters will be the same, because the 2π part of the formula is constant for both circles.

Thus, the ratio of their perimeters will also be 1:5.

The correct answer is: 1:5

## Mathematics (Maths) Class 10

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124 videos|477 docs|105 tests

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