Question

A sector of a circle of 7cm has an area of 44cm².calculate the angle of the sector,correct to the nearest degree π =22\7​

Answer 1

`\theta=102.85^(\circ)`

Explanation:

Given that,

The radius of circle, r = 7 cm

The area of sector, A = 44cm²

We need to find the angle of the sector. The formula for the area of sector is given by :

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

Solve for
`\theta`.

`\theta=(360A)/(\pi r^2)\\\\\theta=(360* 44)/((22)/(7)* 7^2)\\\\\theta=102.85^(\circ)`

So, the angle of the sector is equal to
`102.85^(\circ)`.