the ratio of area of a circle to the area of semicircle is
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Area of a circle = πr²
Area of a semicircle = 1/2πr²
Find the ratio of the area of a circle : area of a semicircle:
area of circle : area of semicircle = πr² : 1/2 πr²
Multiply by 2:
area of circle : area of semicircle = 2πr² : πr²
Divide by πr²:
area of circle : area of semicircle = 2 : 1
Answer: The ratio is 2 : 1
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Proportion is 2:1 circle is twofold of semi circle.
Taking the normal range of the circles to be √5, draw the circles focused in a hub of a unit square lattice as appeared.
On the left the square has region of 4.
The proportion of the two regions is in this manner 4/10 = 2/5, as required.
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