SOLUTION: A circle has an area of 25 pi and is divided into 8 congruent regions. What is the perimeter of one of these regions? a) 10 - 25pi b) 10 + 5/8pi c) 10 + 5/4pi d) 10 + 5pi e)

Question 312031: A circle has an area of 25 pi and is divided into 8 congruent regions. What is the perimeter of one of these regions?
a) 10 - 25pi
b) 10 + 5/8pi
c) 10 + 5/4pi
d) 10 + 5pi
e) 10 + 25pi
If possible can you please explain how you came up with the answer?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The perimeter of the region is made up of the circular portion plus two radii (think of a pie piece). You can calculate the circular portion because you know for the whole circle that the entire circular portion would be the circumference.

If the circle is divided into 8 parts, then the circular portion of the perimeter of each pie slice would be
Then adding the two radii, the perimeter would be,
.
.
.
.
Now finding R.
You know the area of the circle, the equation for the area is,

Now go back and plug this value into the perimeter equation,

c) is the correct answer.
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