Question

The area of a circle is 25π cm². What is the circumference, in centimeters? Express your answer in terms of

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π.

Answer 1

The Circumference is 10π

Explanation:

Use the equation
`C=2√(\pi A)` where A is the area.

Answer 2

Answer: The circumference of the circle is 10π.

Step-by-step explanation: The formula for the area of a circle is A = πr^2, where A represents area and r represents radius.

Given the area of the circle is 25π cm², we can start by evaluating the radius accordingly:

A = πr²

25π = πr²

25 = r²

r = 5

The radius of the circle is 5 cm.

Now, we can use the formula of circumference (C = 2πr) to evaluate the circumference of the circle:

C = 2πr

C = 2π(5)

C = 10π

Hence, the circumference of the circle is 10π.