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The circumference of a circle is 6π in. What is the area, in square inches? Express your answer in terms of \piπ.

User QAZ
by
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2 Answers

1 vote

Answer:

A ≈ 2.86

Explanation:

Using the formulas

A = πr²

C = 2πr

Solving for A

A = C²/ 4π = 6²/ 4·π ≈ 2.86479

User Brijesh Masrani
by
5.1k points
5 votes

Explanation:

Hey, there!!

According to the question,

There is given circumference = 6pi in.

or, 2.pi.r = 6pi.in

or, r = 6 pi.in/ 2

Therefore, the radius (r)= 3in.

now,

area = pi.r^2

a= pi× (3in)^2

Therefore, the area is 9.pi.in^2.

Hope it helps....

User Holdfenytolvaj
by
5.7k points