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Q 73. Find the ratio between perimeter of the 2 circles c1 and c2 if one is having radius is 9 and another having 277 Ops: A 1:3 B. 2:3 C 3:2 D. 3:1

Question

Q 73. Find the ratio between perimeter of the 2 circles c1 and c2 if one is having radius is 9 and another having 277

Ops:

A 1:3

B. 2:3

C 3:2

D. 3:1

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Solution

The perimeter of a circle, also known as the circumference, is calculated by the formula 2πr, where r is the radius of the circle.

For circle c1 with radius 9, the perimeter is 2π*9 = 18π.

For circle c2 with radius 277, the perimeter is 2π*277 = 554π.

The ratio of the perimeters of c1 to c2 is therefore 18π : 554π.

This ratio simplifies by dividing both sides by π, resulting in 18 : 554.

This ratio can be further simplified by dividing both sides by their greatest common divisor, which is 2, resulting in 9 : 277.

So, the ratio between the perimeters of the two circles is 9:277, which is not listed in the options A, B, C, or D.

This problem has been solved

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1/3

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