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`

Answer 1

`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`