Question

May someone please help? thank you!

Answer 1

`6\sqrt2\\OR\\8.48528137`

Explanation:

The area of a sector of a circle is found by:

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

The question asks for the radius so the equation above can be repurposed

`r = \sqrt(2A)/(\theta)`

A = 3pi

angle = pi/12

`(6\pi)/(\pi/12) = (72\pi)/(\pi) = 72`

`√(72) = 6\sqrt2 = 8.48528137`