Questions: Samir is painting a circular table. It has a circumference of 107 inches. What is its approximate area?

Samir is painting a circular table. It has a circumference of 107 inches. What is its approximate area?
Transcript text: Samir is painting a circular table. It has a circumference of 107 inches. What is its approximate area?
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Solution

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Solution Steps

Step 1: Identify the correct formula for circumference

The formula for the circumference of a circle is C = πd, where d is the diameter.

Step 2: Calculate the diameter

Given that the circumference is 107 inches, we can use the formula to find the diameter:

107 = πd d = 107/π d ≈ 34.06 inches

Step 3: Calculate the radius

The radius is half of the diameter:

r = d/2 r ≈ 34.06/2 r ≈ 17.03 inches

Step 4: Calculate the area

The formula for the area of a circle is A = πr². Using the calculated radius:

A = π * (17.03)² A ≈ π * 289.98 A ≈ 910.92

Final Answer

The approximate area of the table is 911 square inches.

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