a circle and semicircle have equal parameters. what is the ratio of the area of the circle of that semicircle
Answers
Given : a circle and semicircle have equal parameters.
To Find : the ratio of the area of the circle of that semicircle
Solution:
Let say radius of circle = x
Hence area = πx²
Perimeter = 2πx
Let say radius of circle = y
=> area = (1/2) πy²
Perimeter = πy + 2y = y ( π+ 2)
2πx = y ( π+ 2)
=> x = y ( π+ 2)/2
area of circle = πx² = π y²( π+ 2)²/4
area of semicircle = πy² /2
Ratio = ( π+ 2)²/2
Hence ratio of the area of the circle of that semicircle = ( π+ 2)²/2
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