Question

A 4cm×6cm rectangle sits inside a circle with a radius of 11cm. what is the shaded region?

round to the nearest hundredth.

Answer 1

The area of the shaded region is 355.94 :)

Explanation:

Answer 2

The area of the shaded region is
`355.94\ cm^(2)`

Explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

so

`A=\pi r^(2)-bh`

we have

`r=11\ cm`

`b=4\ cm`

`h=6\ cm`

assume

`\pi =3.14`

substitute

`A=\pi (11^(2))-4*6=121 \pi-24=121*(3.14)-24=355.94\ cm^(2)`