SOLUTION: Hello, I am having trouble with geometry. My problem is find the area of the shaded region to the nearest tenth. Assume the hexagon is regular. The picture is a circle with an insc

Algebra ->  Surface-area -> SOLUTION: Hello, I am having trouble with geometry. My problem is find the area of the shaded region to the nearest tenth. Assume the hexagon is regular. The picture is a circle with an insc      Log On


   

Question 296322: Hello, I am having trouble with geometry. My problem is find the area of the shaded region to the nearest tenth. Assume the hexagon is regular. The picture is a circle with an inscribed regular hexagon. The shaded part is the between then hexagon and circle. The raduis of the circle is 8 in.
Answer by Deina(147) About Me  (Show Source):
You can put this solution on YOUR website!
Formulae
Area of a circle = +pi%2Ar%5E2+
Area of a regular hexagon = +Area+=+%28%283%2Asqrt%283%29%29%2F2%29+%2A+t%5E2+ where t = the side length



Find the area of the circle = c
Find the area of the hex = h
subtract h from c & bob's your uncle!