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Chapter 4: Problem 46

Find the length of the sides of a regular hexagon inscribed in a circle of radius 25 inches.

Short Answer

Expert verified
The length of each side of the regular hexagon is 25 inches.

Step by step solution

01

Determine the triangle in the hexagon

In a regular hexagon inscribed in a circle, every side of the hexagon is a side of an equilateral triangle extending from the center of the circle. In this scenario, the radius of the circle is the side length of the equilateral triangle, and it is given as 25 inches.
02

Calculate the side length of the hexagon

The side length of the hexagon is equal to the side length of the equilateral triangle which is equal to the radius of the circle. Therefore, the length of each side of the hexagon is also 25 inches

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