Question

Area = 17.45cm?

Find the size of the angle in the sector below.
Give your answer to 1 decimal place. IM
e
5cm
Enter your maths answer​

Answer 1

`\theta=79.98^(\circ)`

Explanation:

Given that,

The area of sector, A = 17.45 cm²

Radius, r = 5 cm

We need to find the angle in the given sector. The area of a sector is given by :

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

Where

`\theta` is the angle of sector

`\theta=(360* A)/(\pi r^2)\\\\\theta=(360* 17.45)/(\pi * (5)^2)\\\\\theta=79.98^(\circ)`

So, the angle of sector is
`79.98^(\circ)`.