The ratio of the circumference of a circle to it's area is 2:3. What is the area of the circle?

Question

Mathematics

Juicy

15 January, 15:16

The ratio of the circumference of a circle to it's area is 2:3. What is the area of the circle?

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Answers (2)

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Bryce Dalton · Answer 1

Let the radius of circle = r

Circumference = 2 * pi * r

Area = pi * r^2

According to question

(2 * pi * r) / (pi * r^2) = 2/3

2/r = 2/3

r=3

Therefore area of circle = pi * r^2

= 3.14 * 3 * 3

= 28.274 units square

Raina · Answer 2

Area of a circle=πr²

πr²=2.3

22/7r²=2.3

r²=2.3*7/22

r²=16.1/22

r=√16.1/22