Question

Find the area of the shaded region. Round to the nearest hundredth where necessary. Hint: Could you find the radius? ​

Answer 1

13.72 cm²

Explanation:

The formula to find the area of a shaded region: Area of the bigger shape - area of the smaller shape.

The formula to find the area of a square:
`a^(2)`, where
`a` is the side.

The formula to find the area of a circle:
`\pi r^(2)`, where
`\pi` is 3.14 or
`(22)/(7)` or 3.142 or similar,
`r` is the radius (diameter ÷ 2).

1) Find the area of the circle using the formula. The radius is 4 because the diameter is 8 (8 ÷ 2 = 4).

=
`(22)/(7)*4^(2)`

=
`(22)/(7)*16`

= 50.285

2) Find the area of the square using the formula.

=
`8^(2)`

= 64

3) Apply: area of the bigger shape - area of the smaller shape.

= 64 - 50.285

= 13.715

4) Round it off to the nearest hundredth.

= 13.72