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21 votes
The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of

π

User Cyrill
by
3.6k points

2 Answers

3 votes

Answer:

132.25π m

Explanation:

23π/2 = 11.5π

π11.5^2 = 132.25 π

User Alexortizl
by
3.2k points
7 votes

Answer:

132.25π

Explanation:

1. the formula of the required area is: A=π*r², where 'r' is radius of the circle;

2. the formula of the the circumference of a circle is: L=2πr, where 'r' is radius of the circle. If the circumference is 23π, then 23π=2πr and r=23/2.

3. if r=23/2, then the required area is:

F=π*(23/2)²=132.25π

User Jprim
by
4.3k points