# Equilateral triangle and octagon inscribed in circles.

1) An equilateral triangle with sides of length 10 is inscribed in a circle. Find the distance from the center of the circle to any side of the triangle.

2) A regular octagon is inscribed in a circle of radius 12cm. Find a) the side length and b) the distance from center of the circle to a side.

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#### Solution Preview

1) Please see the following website for an in depth description of this particular problem. http://mathworld.wolfram.com/EquilateralTriangle.html

If you scroll down the page a bit you can see an equilateral triangle inscribed in a circle. All the appropriate labels have been assigned. In this problem the variable we ...

#### Solution Summary

An equilateral triangle and an octagon inscribed in separate circles are investigated. The distance from the center of the circle to any side is found.