Question

The area of a circle is 49π m². What is the circumference, in meters? Express your answer in terms of

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π.

Answer 1

Answer: 14π

Explanation:

The area of a circle can be expressed as πr^2. In this case, the area is given as 49π m², so we can write:

πr^2 = 49π

Dividing both sides by π, we get:

r^2 = 49

Taking the square root of both sides, we get:

r = 7

The circumference of a circle is given by 2πr, so the circumference in this case would be:

C = 2π * 7 = 14π

So the circumference of the circle with an area of 49π m² is 14π meters.