Question

Find the area of the sector of a circle of radius r and central angle. (Round your answer to two decimal places.)

Answer 1

To find the area, A, of a sector, the formula is

`A=(\theta)/(360\degree)*\pi r^2`

Given that;

`\begin{gathered} r=2.5\text{ feet} \\ \theta=315\degree \end{gathered}`

Substitute the values of the variables into the formula above

`\begin{gathered} A=(315\degree)/(360\degree)*\pi*2.5^2 \\ A=17.18\text{ }ft^2\text{ \lparen two decimal places\rparen} \end{gathered}`

Hence, the answer is 17.18 ft² (two decimal places)