SOLUTION: The number of centimeters in the perimeter of a semicircle is numerically the same as the number of square centimeters in its area. What is the number of centimeters in the radiu

Question 332758: The number of centimeters in the perimeter of a semicircle is numerically the
same as the number of square centimeters in its area. What is the number of
centimeters in the radius of the semicircle?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The number of centimeters in the perimeter of a semicircle is numerically the
same as the number of square centimeters in its area.
What is the number of centimeters in the radius of the semicircle?
:
Let r = the radius
Half the circumference =
:
Circumference of a semi-circle = area of the semicircle
=
factor out r
=
Divide both sides by r
=
Use 3.1416 for pi
3.1416 + 2 = .5*3.1416*r
5.1416 = 1.5708r
r =
r = 3.273 cm is the radius
:
:
Check this:
find the area of the semi circle
A =
A = 16.827
:
Find the circum of the semi circle
C =
C = 16.828, close enough
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