Question

22. The ratio of the circumferences of two circles is 4:5.
Find the ratio of their radii.

please provide your answer with explaination​

Answer 1

Answer:

hey mate here is ur answer

Explanation:

let radius of the circles be : x

Radius of first circle:4x

Radius of second circle: 5x

circumference of circle : 2πr

circumference of first circle : 2x πx 4X

circumference of second circle : 2x πx 5x

Ratio of the circumferences : circumference of first circle /circumference of second circle

=>2 x π x 4x / 2 x π x 5x

=> 4x/5x

=>4/5

=>4:5

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Answer 2

Explanation:

Let the radii of the given circles be 4x and 5x respectively and let their areas be A1 and A2 respectively.

Then, A1 = πr2

= A1 = π × (4x)2

= A1 = 16πx2

And A2 = πr2

= A2 = π × (5x)2

= A2 = 25πx2

∴ (A1/A2) = (16πx2)/ (25πx2)

(A1/A2) = (16/25)

A1: A2 = 16: 25

Hence, the ratio of the areas of two circles is 16: 25