Question

A circle has a sector with area 20\pi20π20, pi and central angle of \purple{\dfrac{2}{5}\pi}

5

2

​

πstart color #9d38bd, start fraction, 2, divided by, 5, end fraction, pi, end color #9d38bd radians .

Answer 1

`r = √(50)`

Step-by-step explanation:

The exercise ask for the radius of the circular sector given its area and central angle. The radius is given by the following expression:

`r = \sqrt{(2\cdot A)/(\theta)}`

`r = \sqrt{(20\pi)/((2\pi)/(5) )}`

`r = \sqrt{(100\pi)/(2\pi)}`

`r = √(50)`