Home
Class 10
MATHS
If the perimeter of a square is equal to...

If the perimeter of a square is equal to the circumference of a circle then the ratio of their areas is

A

`4:pi`

B

`pi:4`

C

`pi:7`

D

`7:pi`

Text Solution

Verified by Experts

The correct Answer is:
B
`4a=2pirimpliesa/r=(pi)/2`
`("Area of square")/("Area of circle")=(a^(2))/(pir^(2))=1/(pi)xx((pi)/2)^(2)=(pi^(2))/(4pi)=(pi)/4=pi:4`
Promotional Banner

Similar Questions

Explore conceptually related problems

The perimeter of an equilateral triangle is equal to the circumference of a circle. The ratio of their areas is (Use pi = (22)/(7) )

If the diameter of a circle is equal to the diagonal of a square, then the ratio of their areas is ________.

If the perimeter of a circle is equal to that of a square, then the ratio of their areas is (a) 13\ : 22 (b) 14\ : 11 (c) 22\ : 13 (d) 11\ : 14

If the perimeter of circle A is equal to perimeter of semi circle B, what is the ratio of their areas ?

The perimeter of a square and the circumferenceof a circle are equal.If the radius of the circle isr and side of the square is S,then the area of thecircle in terms of S is

The perimeter of a circle is called its circumference.

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

The sum of perimeter of a square and circumference of a circle is given. Prove that the sum of their areas will be minimum when the side of square is equal to the diameter of the circle.