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Find the area of a circle with a circumference of 53.42 inches

User Barnardh
by
5.2k points

1 Answer

5 votes

Answer:

226.9 in²

Explanation:

The formula for circumference of a circle is:

C = 2πr, where π = 3.14 and r = the radius

The formula for area of a circle is

A = πr²

First, using the formula for circumference, you can solve for 'r':

53.42 = 2πr or 53.42 = 6.28r (divide) r = 8.5

Now, use the value of 'r' to solve for area:

A = π8.5² or 3.14(8.5)² = 226.9 in²

User Drewtato
by
5.1k points
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