Question

KamFind the area of the shaded sector.Round to the nearest tenth.167°17.8 ydArea = [ ? ]yd?Enter

Answer 1

We know the area of a cirlce is

`A=\pi\cdot r^2`

This is because, in radians, the angle of a whole circle is

`2\pi`

In order to proceed, we'll use the formula

`167\cdot(\pi)/(180)\approx2.9147`

Using this new value, we can now compute the area of the shaded region using the formula

`A=\alpha r^2`
`\text{Where }\alpha\text{ is the angle that generates the shaded region in radians}`

In this case we have:

`A=2.9147\cdot(17.8)^2=\text{ }923.493548`

Round to the nearest tenth:

`A=923.5yd^2`