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The circumference of a circle is 11π m. What is the area, in square meters? Express your answer in terms of π.

User Smk
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1 Answer

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Answer:

A = (121/4)π


Explanation:

We know that the circumference of a circle is given by the formula:

C = 2πr

where C is the circumference and r is the radius of the circle. We are given that the circumference of the circle is 11π m, so we can write:

11π = 2πr

Dividing both sides by 2π, we get:

r = 11/2 meters

Now we can use the formula for the area of a circle:

A = πr^2

Substituting the value of r, we get:

A = π(11/2)^2

Simplifying the expression, we get:

A = π(121/4)

A = (121/4)π

Therefore, the area of the circle is (121/4)π square meters.
User Denbec
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