Question

A regular hexagon is inscribed inside a circle. The circle has a radius of 12
units.
A: What is the approximate measure of the
apothem of the hexagon?

B: What is the approximate area of the hexagon?

Can someone help me?

Answer 1

A hexagon inscribed in a circle results in 6 equilateral triangles, each with sides of 12 units (the given radius)

Look at one of these. Isn't the apothem the height of one of those triangles ? See ...
https://en.wikipedia.org/wiki/Apothem

draw in the altitude, (apothem)
you an now use Pythagoras:
heigth^2 + 6^2 = 12^2
height^2 = 108
height = √108 = appr ......

you can now find the area of one of them, then multiply by 6 to get the whole hexagon.