Glencoe Math Accelerated, Student Edition
Glencoe Math Accelerated, Student Edition
1st Edition
ISBN: 9780076637980
Author: McGraw-Hill Glencoe
Publisher: MCG
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Chapter 11.3, Problem 42STP
To determine

To identify the polygon by the given sum of the interior angle measures.

Expert Solution & Answer
Check Mark

Answer to Problem 42STP

(G) 14

Explanation of Solution

Given:

Sum of the interior angles: 21600

Formula used:

Sum of the interior angles of a polygon: 1800×(n2) where n is the number of sides of the given polygon.

Calculation:

Let n be the number of sides of the given polygon.

Now according to the formula of sum of interior angles of a polygon,

  1800×(n2)

As the sum is given,

  1800×(n2)=21600

Now solving for n,

  n2=216001800

  n2=12

  

  n=12+2

  n=14

Conclusion:

The given polygon is a regular polygon with 14 sides.

Hence a 14-gon.

Therefore, option (G) is correct.

Chapter 11 Solutions

Glencoe Math Accelerated, Student Edition

Ch. 11.1 - Prob. 11IPCh. 11.1 - Prob. 12IPCh. 11.1 - Prob. 13IPCh. 11.1 - Prob. 14IPCh. 11.1 - Prob. 15IPCh. 11.1 - Prob. 16IPCh. 11.1 - Prob. 17IPCh. 11.1 - Prob. 18IPCh. 11.1 - Prob. 19IPCh. 11.1 - Prob. 20IPCh. 11.1 - Prob. 21IPCh. 11.1 - Prob. 22IPCh. 11.1 - Prob. 23IPCh. 11.1 - Prob. 24IPCh. 11.1 - Prob. 25IPCh. 11.1 - Prob. 26IPCh. 11.1 - Prob. 27IPCh. 11.1 - Prob. 28IPCh. 11.1 - Prob. 29IPCh. 11.1 - Prob. 30IPCh. 11.1 - Prob. 31IPCh. 11.1 - Prob. 32IPCh. 11.1 - Prob. 33IPCh. 11.1 - Prob. 34IPCh. 11.1 - Prob. 35HPCh. 11.1 - Prob. 36HPCh. 11.1 - Prob. 37HPCh. 11.1 - Prob. 38HPCh. 11.1 - Prob. 39STPCh. 11.1 - Prob. 40STPCh. 11.1 - Prob. 41STPCh. 11.1 - Prob. 42STPCh. 11.1 - Prob. 43CCRCh. 11.1 - Prob. 44CCRCh. 11.1 - Prob. 45CCRCh. 11.1 - Prob. 46CCRCh. 11.1 - Prob. 47CCRCh. 11.1 - Prob. 48CCRCh. 11.1 - Prob. 49CCRCh. 11.1 - Prob. 50CCRCh. 11.1 - Prob. 51CCRCh. 11.1 - Prob. 52CCRCh. 11.1 - Prob. 53CCRCh. 11.1 - Prob. 54CCRCh. 11.1 - Prob. 55CCRCh. 11.1 - Prob. 56CCRCh. 11.1 - Prob. 57CCRCh. 11.1 - Prob. 58CCRCh. 11.2 - Prob. 1GPCh. 11.2 - Prob. 2GPCh. 11.2 - Prob. 3GPCh. 11.2 - Prob. 4GPCh. 11.2 - Prob. 5GPCh. 11.2 - Prob. 6IPCh. 11.2 - Prob. 7IPCh. 11.2 - Prob. 8IPCh. 11.2 - Prob. 9IPCh. 11.2 - Prob. 10IPCh. 11.2 - Prob. 11IPCh. 11.2 - Prob. 12IPCh. 11.2 - Prob. 13IPCh. 11.2 - Prob. 14IPCh. 11.2 - Prob. 15IPCh. 11.2 - Prob. 16IPCh. 11.2 - Prob. 17IPCh. 11.2 - Prob. 18IPCh. 11.2 - Prob. 19IPCh. 11.2 - Prob. 20IPCh. 11.2 - Prob. 21IPCh. 11.2 - Prob. 22IPCh. 11.2 - Prob. 23IPCh. 11.2 - Prob. 24IPCh. 11.2 - Prob. 25IPCh. 11.2 - Prob. 26IPCh. 11.2 - Prob. 27IPCh. 11.2 - Prob. 28HPCh. 11.2 - Prob. 29HPCh. 11.2 - Prob. 30HPCh. 11.2 - Prob. 31HPCh. 11.2 - Prob. 32HPCh. 11.2 - Prob. 33STPCh. 11.2 - Prob. 34STPCh. 11.2 - Prob. 35STPCh. 11.2 - Prob. 36STPCh. 11.2 - Prob. 37CCRCh. 11.2 - Prob. 38CCRCh. 11.2 - Prob. 39CCRCh. 11.2 - Prob. 40CCRCh. 11.2 - Prob. 41CCRCh. 11.2 - Prob. 42CCRCh. 11.2 - Prob. 43CCRCh. 11.2 - Prob. 44CCRCh. 11.2 - Prob. 45CCRCh. 11.2 - Prob. 46CCRCh. 11.2 - Prob. 47CCRCh. 11.2 - Prob. 48CCRCh. 11.2 - Prob. 49CCRCh. 11.2 - Prob. 50CCRCh. 11.3 - Prob. 1GPCh. 11.3 - Prob. 2GPCh. 11.3 - Prob. 3GPCh. 11.3 - Prob. 4GPCh. 11.3 - Prob. 5GPCh. 11.3 - Prob. 6GPCh. 11.3 - Prob. 7GPCh. 11.3 - Prob. 8IPCh. 11.3 - Prob. 9IPCh. 11.3 - Prob. 10IPCh. 11.3 - Prob. 11IPCh. 11.3 - Prob. 12IPCh. 11.3 - Prob. 13IPCh. 11.3 - Prob. 14IPCh. 11.3 - Prob. 15IPCh. 11.3 - Prob. 16IPCh. 11.3 - Prob. 17IPCh. 11.3 - Prob. 18IPCh. 11.3 - Prob. 19IPCh. 11.3 - Prob. 20IPCh. 11.3 - Prob. 21IPCh. 11.3 - Prob. 22IPCh. 11.3 - Prob. 23IPCh. 11.3 - Prob. 24IPCh. 11.3 - Prob. 25IPCh. 11.3 - Prob. 26IPCh. 11.3 - Prob. 27IPCh. 11.3 - Prob. 28IPCh. 11.3 - Prob. 29IPCh. 11.3 - Prob. 30IPCh. 11.3 - Prob. 31IPCh. 11.3 - Prob. 32IPCh. 11.3 - Prob. 33IPCh. 11.3 - Prob. 34IPCh. 11.3 - Prob. 35IPCh. 11.3 - Prob. 36HPCh. 11.3 - Prob. 37HPCh. 11.3 - Prob. 38HPCh. 11.3 - Prob. 39HPCh. 11.3 - Prob. 40HPCh. 11.3 - Prob. 41STPCh. 11.3 - Prob. 42STPCh. 11.3 - Prob. 43STPCh. 11.3 - Prob. 44STPCh. 11.3 - Prob. 45CCRCh. 11.3 - Prob. 46CCRCh. 11.3 - Prob. 47CCRCh. 11.3 - Prob. 48CCRCh. 11.3 - Prob. 49CCRCh. 11.3 - Prob. 50CCRCh. 11.3 - Prob. 51CCRCh. 11.3 - Prob. 52CCRCh. 11.3 - Prob. 53CCRCh. 11.3 - Prob. 54CCRCh. 11.3 - Prob. 55CCRCh. 11.3 - Prob. 56CCRCh. 11.4 - Prob. 1GPCh. 11.4 - Prob. 2GPCh. 11.4 - Prob. 3IPCh. 11.4 - Prob. 4IPCh. 11.4 - Prob. 5IPCh. 11.4 - Prob. 6IPCh. 11.4 - Prob. 7IPCh. 11.4 - Prob. 8IPCh. 11.4 - Prob. 9IPCh. 11.4 - Prob. 10IPCh. 11.4 - Prob. 11IPCh. 11.4 - Prob. 12IPCh. 11.4 - Prob. 13IPCh. 11.4 - Prob. 14IPCh. 11.4 - Prob. 15IPCh. 11.4 - Prob. 16IPCh. 11.4 - Prob. 17IPCh. 11.4 - Prob. 18HPCh. 11.4 - Prob. 19HPCh. 11.4 - Prob. 20HPCh. 11.4 - Prob. 21HPCh. 11.4 - Prob. 22HPCh. 11.4 - Prob. 23STPCh. 11.4 - Prob. 24STPCh. 11.4 - Prob. 25STPCh. 11.4 - Prob. 26STPCh. 11.4 - Prob. 27CCRCh. 11.4 - Prob. 28CCRCh. 11.4 - Prob. 29CCRCh. 11.4 - Prob. 30CCRCh. 11.4 - Prob. 31CCRCh. 11.4 - Prob. 32CCRCh. 11.4 - Prob. 33CCRCh. 11.4 - Prob. 34CCRCh. 11.4 - Prob. 35CCRCh. 11.4 - Prob. 36CCRCh. 11.4 - Prob. 37CCRCh. 11.4 - Prob. 38CCRCh. 11.4 - Prob. 39CCRCh. 11.4 - Prob. 40CCRCh. 11.5 - Prob. 1GPCh. 11.5 - Prob. 2GPCh. 11.5 - Prob. 3GPCh. 11.5 - Prob. 4GPCh. 11.5 - Prob. 5IPCh. 11.5 - Prob. 6IPCh. 11.5 - Prob. 7IPCh. 11.5 - Prob. 8IPCh. 11.5 - Prob. 9IPCh. 11.5 - Prob. 10IPCh. 11.5 - Prob. 11IPCh. 11.5 - Prob. 12IPCh. 11.5 - Prob. 13IPCh. 11.5 - Prob. 14IPCh. 11.5 - Prob. 15IPCh. 11.5 - Prob. 16IPCh. 11.5 - Prob. 17HPCh. 11.5 - Prob. 18HPCh. 11.5 - Prob. 19HPCh. 11.5 - Prob. 20HPCh. 11.5 - Prob. 21HPCh. 11.5 - Prob. 22STPCh. 11.5 - Prob. 23STPCh. 11.5 - Prob. 24STPCh. 11.5 - Prob. 25STPCh. 11.5 - Prob. 26CCRCh. 11.5 - Prob. 27CCRCh. 11.5 - Prob. 28CCRCh. 11.5 - Prob. 29CCRCh. 11.5 - Prob. 30CCRCh. 11.5 - Prob. 31CCRCh. 11.5 - Prob. 32CCRCh. 11.5 - Prob. 33CCRCh. 11.5 - Prob. 34CCRCh. 11.5 - Prob. 35CCRCh. 11.5 - Prob. 36CCRCh. 11.5 - Prob. 37CCRCh. 11.5 - Prob. 38CCRCh. 11.5 - Prob. 39CCRCh. 11.6 - Prob. 1GPCh. 11.6 - Prob. 2GPCh. 11.6 - Prob. 3GPCh. 11.6 - Prob. 4IPCh. 11.6 - Prob. 5IPCh. 11.6 - Prob. 6IPCh. 11.6 - Prob. 7IPCh. 11.6 - Prob. 8IPCh. 11.6 - Prob. 9IPCh. 11.6 - Prob. 10IPCh. 11.6 - Prob. 11IPCh. 11.6 - Prob. 12IPCh. 11.6 - Prob. 13HPCh. 11.6 - Prob. 14HPCh. 11.6 - Prob. 15HPCh. 11.6 - Prob. 16HPCh. 11.6 - Prob. 17STPCh. 11.6 - Prob. 18STPCh. 11.6 - Prob. 19CCRCh. 11.6 - Prob. 20CCRCh. 11.6 - Prob. 21CCRCh. 11.6 - Prob. 22CCRCh. 11.6 - Prob. 23CCRCh. 11.6 - Prob. 24CCRCh. 11.6 - Prob. 25CCRCh. 11.7 - Prob. 1GPCh. 11.7 - Prob. 2GPCh. 11.7 - Prob. 3GPCh. 11.7 - Prob. 4GPCh. 11.7 - Prob. 5GPCh. 11.7 - Prob. 6IPCh. 11.7 - Prob. 7IPCh. 11.7 - Prob. 8IPCh. 11.7 - Prob. 9IPCh. 11.7 - Prob. 10IPCh. 11.7 - Prob. 11IPCh. 11.7 - Prob. 12IPCh. 11.7 - Prob. 13IPCh. 11.7 - Prob. 14IPCh. 11.7 - Prob. 15IPCh. 11.7 - Prob. 16IPCh. 11.7 - Prob. 17IPCh. 11.7 - Prob. 18IPCh. 11.7 - Prob. 19IPCh. 11.7 - Prob. 20HPCh. 11.7 - Prob. 21HPCh. 11.7 - Prob. 22HPCh. 11.7 - Prob. 23HPCh. 11.7 - Prob. 24HPCh. 11.7 - Prob. 25HPCh. 11.7 - Prob. 26STPCh. 11.7 - Prob. 27STPCh. 11.7 - Prob. 28STPCh. 11.7 - Prob. 29STPCh. 11.7 - Prob. 30CCRCh. 11.7 - Prob. 31CCRCh. 11.7 - Prob. 32CCRCh. 11.7 - Prob. 33CCRCh. 11.7 - Prob. 34CCRCh. 11.7 - Prob. 35CCRCh. 11.8 - Prob. 1GPCh. 11.8 - Prob. 2GPCh. 11.8 - Prob. 3GPCh. 11.8 - Prob. 4GPCh. 11.8 - Prob. 5IPCh. 11.8 - Prob. 6IPCh. 11.8 - Prob. 7IPCh. 11.8 - Prob. 8IPCh. 11.8 - Prob. 9IPCh. 11.8 - Prob. 10IPCh. 11.8 - Prob. 11IPCh. 11.8 - Prob. 12IPCh. 11.8 - Prob. 13IPCh. 11.8 - Prob. 14IPCh. 11.8 - Prob. 15IPCh. 11.8 - Prob. 16IPCh. 11.8 - Prob. 17HPCh. 11.8 - Prob. 18HPCh. 11.8 - Prob. 19HPCh. 11.8 - Prob. 20HPCh. 11.8 - Prob. 21STPCh. 11.8 - Prob. 22STPCh. 11.8 - Prob. 23STPCh. 11.8 - Prob. 24STPCh. 11.8 - Prob. 25CCRCh. 11.8 - Prob. 26CCRCh. 11.8 - Prob. 27CCRCh. 11.8 - Prob. 28CCRCh. 11.8 - Prob. 29CCRCh. 11.8 - Prob. 30CCRCh. 11.8 - Prob. 31CCRCh. 11.8 - Prob. 32CCRCh. 11.8 - Prob. 33CCRCh. 11.8 - Prob. 34CCRCh. 11.8 - Prob. 35CCRCh. 11 - Prob. 1CRCh. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - Prob. 8CRCh. 11 - Prob. 9CRCh. 11 - Prob. 10CRCh. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - Prob. 14CRCh. 11 - Prob. 15CRCh. 11 - Prob. 16CRCh. 11 - Prob. 17CRCh. 11 - Prob. 18CRCh. 11 - Prob. 19CRCh. 11 - Prob. 20CRCh. 11 - Prob. 21CRCh. 11 - Prob. 22CRCh. 11 - Prob. 23CRCh. 11 - Prob. 24CRCh. 11 - Prob. 25CRCh. 11 - Prob. 26CRCh. 11 - Prob. 27CRCh. 11 - Prob. 28CRCh. 11 - Prob. 29CRCh. 11 - Prob. 30CRCh. 11 - Prob. 31CRCh. 11 - Prob. 32CRCh. 11 - Prob. 33CRCh. 11 - Prob. 34CR
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