   Chapter 7.CR, Problem 33CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

The length of the radius of a circle inscribed in a regular hexagon is 10 cm. Find the perimeter of the hexagon.

To determine

To find:

The perimeter of the hexagon.

Explanation

Given:

The length of the radius of a circle inscribed in a regular hexagon is 10 cm.

Calculation:

Consider a circle of radius 10 cm inscribed in a regular hexagon.

Draw six lines from the center to the circle to the vertices of the hexagon, dividing the hexagon into six equilateral triangles.

Consider an equilateral triangle.

The radius of the circle equals the height of the equilateral triangles of side s as shown in the figure.

We know the altitude of the equilateral triangle divides the triangle into two right triangles.

Thus by Pythagoras theorem, we get s2=R2+(s2)2

s2=R2+(s2)2R2=s2s24R2=34s2R=32s

Given that the radius of the circle is 10 cm

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

In problems 37-42, use technology to solve each system of equations, if a solution exists.

Mathematical Applications for the Management, Life, and Social Sciences

Find the general indefinite integral. 2t(1+5t)dt

Single Variable Calculus: Early Transcendentals, Volume I

Write the following numbers in word form. .000033

Contemporary Mathematics for Business & Consumers

Sometimes, Always, or Never: If limxaf(x) and f(a) both exist, then f is continuous at a.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

True or False: is a convergent series.

Study Guide for Stewart's Multivariable Calculus, 8th 