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Test: Area & Perimeter of A Circle


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

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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​

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

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.​

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