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  • 17-08-2020
  • Mathematics
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The perimeter of a semicircle is 123.36 metres. What is the semicircle's area?

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greenmonkey04
greenmonkey04 greenmonkey04
  • 17-08-2020
Perimeter = 123.36 m
P of full circle = 123.36 m x 2
= 246.72

P of circle (circumference) = Pi x diameter
246.72 = 3.14 x diameter
246.72/3.14 = diameter
Diameter = 78.57
Diameter= radius x 2
78.57/2= radius
Radius = 39.28

Area of a full circle = Pi x r^2
A=3.14x39.28^2
A=1543.44 mètres squared

Area is semicircle = 1543.44/2
A=771.72 mètres squared

Therefore the answer is 771.72 m sq
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