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Question
What is the area of a semi-circle of diameter ‘d’?
Options
`1/16 πd^2`
`1/4 πd^2`
`1/8 πd^2`
`1/2 πd^2`
Solution
`bb(1/8 πd^2)`
Explanation:
As we know that,
Area of semi-circle = `(πr^2)/2`
and radius (r) = `("Diameter" (d))/2`
∴ r = `d/2`
Thus, area of semi-circle = `π/2(d/2)^2`
= `(πd^2)/(2 xx 4)`
= `(πd^2)/8`
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