katelynndonovan79 katelynndonovan79
  • 02-09-2021
  • Mathematics
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The circumference of a circle is 22π in. What is the area, in square inches? Express your answer in terms of \piπ.

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jimrgrant1 jimrgrant1
  • 02-09-2021

Answer:

A = 121π in²

Step-by-step explanation:

The circumference (C) of a circle is

C = 2πr ( r is the radius )

Here C = 22π , that is

2πr = 22π ( divide both sides by 2π )

r = [tex]\frac{22\pi }{2\pi }[/tex] = 11

The area (A) of a circle is

A = πr² = π × 11² = 121π in²

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