SOLUTION: If the circumference of a circle is 4(pi)/3, then what is half of its area?

Question 275872: If the circumference of a circle is 4(pi)/3, then what is half of its area?
Found 2 solutions by solver91311, edjones:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The circumference of a circle is given by:

But you know that the circumference is

So:

Solve for then insert the value of into the formula for the area of a circle and divide the result by 2.

John

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
C=2(pi)r
2(pi)r=4(pi)/3
r=4(pi)/3 * 1/2(pi)
=4(pi)/6(pi)
=2/3
.
A/2=(pi)r^2/2
=(pi)(2/3)^2/2
=(pi)(4/9) * 1/2
=(2(pi))/9
.
Ed
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