Question

Calculate the area of the shaded region

Answer 1

48.0 cm² (3 sf)

Explanation:

Shaded triangle:

Area of triangle - area of circle =
`((1)/(2) * 11 * 11)-(\pi 3.5^2)=60.5-12.25\pi`

Shaded rectangle:

Area of rectangle - area of semicircle =
`((11)/(2) *11)-(1)/(2) \pi 5.5^2=60.5-15.125\pi`

So total shaded region:

`(60.5-12.25\pi)+2(60.5-15.125\pi )=47.98231222...`