Knowee
Questions
Features
Study Tools

f the perimeter of a circle is equal to that of a square, then the ratio of their areas is 22: 7 14: 11 7: 22 11: 14

Question

f the perimeter of a circle is equal to that of a square, then the ratio of their areas is 22: 7 14: 11 7: 22 11: 14

🧐 Not the exact question you are looking for?Go ask a question

Solution

The perimeter of a circle is given by 2πr, and the perimeter of a square is given by 4s, where r is the radius of the circle and s is the side length of the square.

If the perimeters are equal, then we have 2πr = 4s. Solving for s, we get s = πr/2.

The area of a circle is given by πr², and the area of a square is given by s². Substituting s = πr/2 into the area of the square, we get the area of the square is (πr/2)² = π²r²/4.

The ratio of the area of the circle to the area of the square is then (πr²) / (π²r²/4) = 4/π.

Therefore, the ratio of their areas is 4/π : 1, which is approximately 1.27 : 1. This is not one of the options given in the question. There may be a mistake in the question or the provided options.

This problem has been solved

Similar Questions

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

The radius of a circle is same as the side of a square. Their perimeters are in the ratio

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

Ratio of areas of incircle and circumcircle of an equilateral triangle is?1:41:22:12:3

The areas of two similar figures are in a ratio of 49 :16. What is the ratio of their sides?Question 7

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.