Geometry For Enjoyment And Challenge
Geometry For Enjoyment And Challenge
91st Edition
ISBN: 9780866099653
Author: Richard Rhoad, George Milauskas, Robert Whipple
Publisher: McDougal Littell
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Concept explainers

Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made p…
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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Question
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Chapter 14.5, Problem 25PSC
To determine

To circumscribe a regular hexagon about a given circle.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given:

The circle.

Calculation:

Theregular octagon in the given circle can be inscribed as follows-

  Geometry For Enjoyment And Challenge, Chapter 14.5, Problem 25PSC

Draw a circle of a particular radius and then draw its diameter, from one of the end point of the diameter draw an arc on the circle with the length as the radius of the circle, use the new intersection point to draw another arc on the circle. Similarly draw more arcs till you reach the starting point. The points of intersection are the vertices of the hexagon. Join the points.

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Chapter 14.5, Problem 24PSC
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Chapter 14.5, Problem 26PSD

Chapter 14 Solutions

Geometry For Enjoyment And Challenge

Ch. 14.1 - Prob. 1PSACh. 14.1 - Prob. 2PSACh. 14.1 - Prob. 3PSACh. 14.1 - Prob. 4PSACh. 14.1 - Prob. 5PSACh. 14.1 - Prob. 6PSACh. 14.1 - Prob. 7PSACh. 14.1 - Prob. 8PSACh. 14.1 - Prob. 9PSACh. 14.1 - Prob. 10PSA
Ch. 14.1 - Prob. 11PSBCh. 14.1 - Prob. 12PSBCh. 14.1 - Prob. 13PSBCh. 14.1 - Prob. 14PSBCh. 14.1 - Prob. 15PSBCh. 14.1 - Prob. 16PSBCh. 14.1 - Prob. 17PSBCh. 14.1 - Prob. 18PSBCh. 14.1 - Prob. 19PSBCh. 14.1 - Prob. 20PSBCh. 14.1 - Prob. 21PSBCh. 14.1 - Prob. 22PSBCh. 14.1 - Prob. 23PSBCh. 14.1 - Prob. 24PSCCh. 14.1 - Prob. 25PSCCh. 14.1 - Prob. 26PSCCh. 14.1 - Prob. 27PSCCh. 14.1 - Prob. 28PSCCh. 14.1 - Prob. 29PSCCh. 14.1 - Prob. 30PSCCh. 14.2 - Prob. 1PSACh. 14.2 - Prob. 2PSACh. 14.2 - Prob. 3PSACh. 14.2 - Prob. 4PSACh. 14.2 - Prob. 5PSBCh. 14.2 - Prob. 6PSBCh. 14.2 - Prob. 7PSBCh. 14.2 - Prob. 8PSBCh. 14.2 - Prob. 9PSBCh. 14.2 - Prob. 10PSBCh. 14.2 - Prob. 11PSCCh. 14.2 - Prob. 12PSCCh. 14.2 - Prob. 13PSCCh. 14.2 - Prob. 14PSCCh. 14.2 - Prob. 15PSCCh. 14.2 - Prob. 16PSCCh. 14.2 - Prob. 17PSCCh. 14.3 - Prob. 1PSACh. 14.3 - Prob. 2PSACh. 14.3 - Prob. 3PSACh. 14.3 - Prob. 4PSACh. 14.3 - Prob. 5PSACh. 14.3 - Prob. 6PSACh. 14.3 - Prob. 7PSACh. 14.3 - Prob. 8PSBCh. 14.3 - Prob. 9PSBCh. 14.3 - Prob. 10PSBCh. 14.3 - Prob. 11PSBCh. 14.3 - Prob. 12PSBCh. 14.3 - Prob. 13PSBCh. 14.3 - Prob. 14PSBCh. 14.3 - Prob. 15PSCCh. 14.3 - Prob. 16PSCCh. 14.3 - Prob. 17PSCCh. 14.3 - Prob. 18PSCCh. 14.3 - Prob. 19PSCCh. 14.3 - Prob. 20PSCCh. 14.3 - Prob. 21PSDCh. 14.4 - Prob. 1PSACh. 14.4 - Prob. 2PSACh. 14.4 - Prob. 3PSACh. 14.4 - Prob. 4PSACh. 14.4 - Prob. 5PSACh. 14.4 - Prob. 6PSBCh. 14.4 - Prob. 7PSBCh. 14.4 - Prob. 8PSBCh. 14.4 - Prob. 9PSBCh. 14.4 - Prob. 10PSBCh. 14.4 - Prob. 11PSBCh. 14.4 - Prob. 12PSBCh. 14.4 - Prob. 13PSBCh. 14.4 - Prob. 14PSCCh. 14.4 - Prob. 15PSCCh. 14.4 - Prob. 16PSCCh. 14.4 - Prob. 17PSCCh. 14.4 - Prob. 18PSCCh. 14.4 - Prob. 19PSDCh. 14.5 - Prob. 1PSACh. 14.5 - Prob. 2PSACh. 14.5 - Prob. 3PSACh. 14.5 - Prob. 4PSACh. 14.5 - Prob. 5PSACh. 14.5 - Prob. 6PSACh. 14.5 - Prob. 7PSACh. 14.5 - Prob. 8PSACh. 14.5 - Prob. 9PSACh. 14.5 - Prob. 10PSACh. 14.5 - Prob. 11PSACh. 14.5 - Prob. 12PSBCh. 14.5 - Prob. 13PSBCh. 14.5 - Prob. 14PSBCh. 14.5 - Prob. 15PSBCh. 14.5 - Prob. 16PSBCh. 14.5 - Prob. 17PSBCh. 14.5 - Prob. 18PSBCh. 14.5 - Prob. 19PSBCh. 14.5 - Prob. 20PSCCh. 14.5 - Prob. 21PSCCh. 14.5 - Prob. 22PSCCh. 14.5 - Prob. 23PSCCh. 14.5 - Prob. 24PSCCh. 14.5 - Prob. 25PSCCh. 14.5 - Prob. 26PSDCh. 14.6 - Prob. 1PSACh. 14.6 - Prob. 2PSACh. 14.6 - Prob. 3PSACh. 14.6 - Prob. 4PSACh. 14.6 - Prob. 5PSACh. 14.6 - Prob. 6PSACh. 14.6 - Prob. 7PSACh. 14.6 - Prob. 8PSBCh. 14.6 - Prob. 9PSBCh. 14.6 - Prob. 10PSBCh. 14.6 - Prob. 11PSBCh. 14.6 - Prob. 12PSBCh. 14.6 - Prob. 13PSBCh. 14.6 - Prob. 14PSBCh. 14.6 - Prob. 15PSBCh. 14.6 - Prob. 16PSBCh. 14.6 - Prob. 17PSCCh. 14.6 - Prob. 18PSCCh. 14.6 - Prob. 19PSCCh. 14.6 - Prob. 20PSCCh. 14.6 - Prob. 21PSCCh. 14.6 - Prob. 22PSDCh. 14.6 - Prob. 23PSDCh. 14.6 - Prob. 24PSECh. 14 - Prob. 1RPCh. 14 - Prob. 2RPCh. 14 - Prob. 3RPCh. 14 - Prob. 4RPCh. 14 - Prob. 5RPCh. 14 - Prob. 6RPCh. 14 - Prob. 7RPCh. 14 - Prob. 8RPCh. 14 - Prob. 9RPCh. 14 - Prob. 10RPCh. 14 - Prob. 11RPCh. 14 - Prob. 12RPCh. 14 - Prob. 13RPCh. 14 - Prob. 14RPCh. 14 - Prob. 15RPCh. 14 - Prob. 16RPCh. 14 - Prob. 17RPCh. 14 - Prob. 18RPCh. 14 - Prob. 19RPCh. 14 - Prob. 20RPCh. 14 - Prob. 21RPCh. 14 - Prob. 22RPCh. 14 - Prob. 23RPCh. 14 - Prob. 24RPCh. 14 - Prob. 25RPCh. 14 - Prob. 26RPCh. 14 - Prob. 27RPCh. 14 - Prob. 28RPCh. 14 - Prob. 29RPCh. 14 - Prob. 30RPCh. 14 - Prob. 31RPCh. 14 - Prob. 32RP

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