SOLUTION: A circle and a semicircle have the same area. If the circle has radius 1, what is the radius of the semicircle?
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Question 553370: A circle and a semicircle have the same area. If the circle has radius 1, what is the radius of the semicircle?
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Area of a circle:
If r=1, then
Area of a semicircle
Since the area of the semicircle is the same as the area of the circle, .
Multiply both sides by 2 to clear the fraction:
Divide both sides by pi:
or Reject the negative answer since a radius cannot be negative.
Final Answer!!
Happy New Year!! My Email address is rapaljer@seminolestate.edu if you need to contact me!!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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