The length around the outside of semicircle O from point L through point M to point N is 14 centimeters. The perimeter of semicircle O is about 22.92 centimeters. What is the approximate area of semicircle O? Use 3.14 for . A. 41.83 square centimeters B. 83.67 square centimeters C. 62.46 square centimeters D. 31.23 square centimeters Reset
Accepted Solution
A:
The area would be 83.67 cm.
A semicircle is half of a circle. The perimeter of the semicircle would be half of the perimeter (circumference) of the entire circle. The formula for circumference is:
C=πd
Using our information, we have
22.92 = 0.5(3.14)d 22.92 = 1.57d
Divide both sides by 1.57:
22.92/1.57 = 1.57d/1.57 14.6≈d
Since the diameter is 14.6, the radius is 14.6/2 = 7.3.