Question

Find the area of the region between a regular hexagon with sides of 6" and its inscribed circle.

Answer 1

@imqwerty

Answer 2

area of regular hexagon is given by this formula-\(\large \frac{3 \sqrt{3}}{2}a^2\)
where \(a\) is the side length of the hexagon

finding the radius of circle-
here i have not drawn the circle tho
we can use trigonometric ratios to find the radius
hint: \(tan(60)= \large \frac{radius}{a/2}\)

once you find this radius the area of circle will be this- \(\pi r^2\)

and then all you need to do is subtract the area of circle from the area of hexagon to get your answer :)