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The circumference of a circle is 18.84 millimetres. What is the circle's area?

Question

The circumference of a circle is 18.84 millimetres. What is the circle's area?

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Solution

Sure, here's how to calculate the area of a circle given its circumference:

Step 1: The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. We can rearrange this formula to solve for r: r = C / (2π).

Step 2: Substitute the given circumference into the formula: r = 18.84 mm / (2π) ≈ 3 mm.

Step 3: The formula for the area of a circle is A = πr². Substitute the radius we found into this formula: A = π(3 mm)² ≈ 28.27 mm².

So, the area of the circle is approximately 28.27 square millimetres.

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