The Relationship Between Circumference & Area Practice

Question

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Question
The circumference of a circle is 22π
inches. Find the area of that circle. Substitute 3.14 for pi. Express your answer to the hundredths place.(1 point)
in.2

Answer 1

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.

Given that the circumference is 22π inches, we can substitute this value into the formula: 22π = 2πr

Solving for r, we get: r = 22π / 2π = 11 inches

Now, we can find the area of the circle using the formula A = πr^2. Substituting the radius we found, we get: A = π(11)^2 = π(121) = 121π square inches

Since we are asked to express the answer to the hundredths place, we can substitute 3.14 for pi and calculate: 121 * 3.14 = 380.14

Therefore, the area of the circle is 380.14 square inches.