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Equilateral triangle and octagon inscribed in circles.

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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.