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The area of a circle is 36π m2. What is the circumference, in meters? Express your answer in terms of π

User Virne
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Final answer:

The circumference of the circle is 12π meters.

Step-by-step explanation:

The area of a circle is found using the formula A = πr², where A is the area and r is the radius.

In this case, the area is given as 36π m².

To find the radius, we can rearrange the formula: r = √(A/π).

Substituting the given area, we have r = √(36π/π)

= √36

= 6 m.

The circumference of a circle is found using the formula C = 2πr.

Plugging in the radius, we get C = 2π(6)

= 12π m.

Therefore, the circumference of the circle is 12π meters.

User RocketRaccoon
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