SOLUTION: A hexagon is inscribed in a circle given that radius is 2cm find the area of the shaded parts of the circle
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Question 1019649: A hexagon is inscribed in a circle given that radius is 2cm find the area of the shaded parts of the circle
Answer by FrankM(1040) (Show Source): You can put this solution on YOUR website!
No image was submitted, so I'm guessing this was the problem.
The circle area is
The hexagon has 6 triangles, all equilateral, with sides of 2.
When we look at the single triangle we can drop a line and divide into 2 right triangles. The right triangle has a base of 1 and hypotenuse of 2. Pythagorus gives us
Here,
1/2bh gives us an area of as well. multiply this by 6 and total hexagon area is
The shaded area is or 2.174 sq cm
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