BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

In Exercises 17 to 30, use the formula A = 1 2 a P to find the area of the regular polygon described.

Find the area of a regular octagon with an apothem of length a = 9.8 in. and each side of length s = 8.1 in.

To determine

To find:

The area of a regular octagon.

Explanation

1) The perimeter of a regular polygon is given by P = ns, where n is the number of sides and s is the length of any side.

2) The area of a regular octagon with apothem a and perimeter P is given by A=12(aP).

Calculation:

It is given that the apothem and length of the regular octagon are 9.8 in and 8.1 in respectively.

The total number of sides in a regular octagon is 8.

Use the formula for the perimeter of regular polygon, i.e., perimeter = ns

Substitute n = 8 and s = 8.1 in P = ns.

P = (8)(8.1)

= 64.8 in

Use the formula of area of regular octagon, A=12(aP)

Substitute a = 9

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
Sect-8.1 P-11ESect-8.1 P-12ESect-8.1 P-13ESect-8.1 P-14ESect-8.1 P-15ESect-8.1 P-16ESect-8.1 P-17ESect-8.1 P-18ESect-8.1 P-19ESect-8.1 P-20ESect-8.1 P-21ESect-8.1 P-22ESect-8.1 P-23ESect-8.1 P-24ESect-8.1 P-25ESect-8.1 P-26ESect-8.1 P-27ESect-8.1 P-28ESect-8.1 P-29ESect-8.1 P-30ESect-8.1 P-31ESect-8.1 P-32ESect-8.1 P-33ESect-8.1 P-34ESect-8.1 P-35ESect-8.1 P-36ESect-8.1 P-37ESect-8.1 P-38ESect-8.1 P-39ESect-8.1 P-40ESect-8.1 P-41ESect-8.1 P-42ESect-8.1 P-43ESect-8.1 P-44ESect-8.1 P-45ESect-8.1 P-46ESect-8.1 P-47ESect-8.1 P-48ESect-8.1 P-49ESect-8.1 P-50ESect-8.1 P-51ESect-8.1 P-52ESect-8.1 P-53ESect-8.1 P-54ESect-8.1 P-55ESect-8.1 P-56ESect-8.2 P-1ESect-8.2 P-2ESect-8.2 P-3ESect-8.2 P-4ESect-8.2 P-5ESect-8.2 P-6ESect-8.2 P-7ESect-8.2 P-8ESect-8.2 P-9ESect-8.2 P-10ESect-8.2 P-11ESect-8.2 P-12ESect-8.2 P-13ESect-8.2 P-14ESect-8.2 P-15ESect-8.2 P-16ESect-8.2 P-17ESect-8.2 P-18ESect-8.2 P-19ESect-8.2 P-20ESect-8.2 P-21ESect-8.2 P-22ESect-8.2 P-23ESect-8.2 P-24ESect-8.2 P-25ESect-8.2 P-26ESect-8.2 P-27ESect-8.2 P-28ESect-8.2 P-29ESect-8.2 P-30ESect-8.2 P-31ESect-8.2 P-32ESect-8.2 P-33ESect-8.2 P-34ESect-8.2 P-35ESect-8.2 P-36ESect-8.2 P-37ESect-8.2 P-38ESect-8.2 P-39ESect-8.2 P-40ESect-8.2 P-41ESect-8.2 P-42ESect-8.2 P-43ESect-8.2 P-44ESect-8.2 P-45ESect-8.2 P-46ESect-8.2 P-47ESect-8.2 P-48ESect-8.2 P-49ESect-8.2 P-50ESect-8.2 P-51ESect-8.2 P-52ESect-8.2 P-53ESect-8.2 P-54ESect-8.2 P-55ESect-8.2 P-56ESect-8.3 P-1ESect-8.3 P-2ESect-8.3 P-3ESect-8.3 P-4ESect-8.3 P-5ESect-8.3 P-6ESect-8.3 P-7ESect-8.3 P-8ESect-8.3 P-9ESect-8.3 P-10ESect-8.3 P-11ESect-8.3 P-12ESect-8.3 P-13ESect-8.3 P-14ESect-8.3 P-15ESect-8.3 P-16ESect-8.3 P-17ESect-8.3 P-18ESect-8.3 P-19ESect-8.3 P-20ESect-8.3 P-21ESect-8.3 P-22ESect-8.3 P-23ESect-8.3 P-24ESect-8.3 P-25ESect-8.3 P-26ESect-8.3 P-27ESect-8.3 P-28ESect-8.3 P-29ESect-8.3 P-30ESect-8.3 P-31ESect-8.3 P-32ESect-8.3 P-33ESect-8.3 P-34ESect-8.3 P-35ESect-8.3 P-36ESect-8.3 P-37ESect-8.3 P-38ESect-8.4 P-1ESect-8.4 P-2ESect-8.4 P-3ESect-8.4 P-4ESect-8.4 P-5ESect-8.4 P-6ESect-8.4 P-7ESect-8.4 P-8ESect-8.4 P-9ESect-8.4 P-10ESect-8.4 P-11ESect-8.4 P-12ESect-8.4 P-13ESect-8.4 P-14ESect-8.4 P-15ESect-8.4 P-16ESect-8.4 P-17ESect-8.4 P-18ESect-8.4 P-19ESect-8.4 P-20ESect-8.4 P-21ESect-8.4 P-22ESect-8.4 P-23ESect-8.4 P-24ESect-8.4 P-25ESect-8.4 P-26ESect-8.4 P-27ESect-8.4 P-28ESect-8.4 P-29ESect-8.4 P-30ESect-8.4 P-31ESect-8.4 P-32ESect-8.4 P-33ESect-8.4 P-34ESect-8.4 P-36ESect-8.4 P-37ESect-8.4 P-38ESect-8.4 P-39ESect-8.4 P-40ESect-8.4 P-41ESect-8.4 P-42ESect-8.4 P-43ESect-8.4 P-44ESect-8.4 P-45ESect-8.4 P-46ESect-8.4 P-47ESect-8.5 P-1ESect-8.5 P-2ESect-8.5 P-3ESect-8.5 P-4ESect-8.5 P-5ESect-8.5 P-6ESect-8.5 P-7ESect-8.5 P-8ESect-8.5 P-9ESect-8.5 P-10ESect-8.5 P-11ESect-8.5 P-12ESect-8.5 P-13ESect-8.5 P-14ESect-8.5 P-15ESect-8.5 P-16ESect-8.5 P-17ESect-8.5 P-18ESect-8.5 P-19ESect-8.5 P-20ESect-8.5 P-21ESect-8.5 P-22ESect-8.5 P-23ESect-8.5 P-24ESect-8.5 P-25ESect-8.5 P-26ESect-8.5 P-27ESect-8.5 P-28ESect-8.5 P-29ESect-8.5 P-30ESect-8.5 P-31ESect-8.5 P-32ESect-8.5 P-33ESect-8.5 P-34ESect-8.5 P-35ESect-8.5 P-36ESect-8.5 P-37ESect-8.5 P-38ESect-8.5 P-39ESect-8.5 P-40ESect-8.5 P-41ESect-8.5 P-42ESect-8.5 P-43ESect-8.5 P-44ESect-8.5 P-45ESect-8.CR P-1CRSect-8.CR P-2CRSect-8.CR P-3CRSect-8.CR P-4CRSect-8.CR P-5CRSect-8.CR P-6CRSect-8.CR P-7CRSect-8.CR P-8CRSect-8.CR P-9CRSect-8.CR P-10CRSect-8.CR P-11CRSect-8.CR P-12CRSect-8.CR P-13CRSect-8.CR P-14CRSect-8.CR P-15CRSect-8.CR P-16CRSect-8.CR P-17CRSect-8.CR P-18CRSect-8.CR P-19CRSect-8.CR P-20CRSect-8.CR P-21CRSect-8.CR P-22CRSect-8.CR P-23CRSect-8.CR P-24CRSect-8.CR P-25CRSect-8.CR P-26CRSect-8.CR P-27CRSect-8.CR P-28CRSect-8.CR P-29CRSect-8.CR P-30CRSect-8.CR P-31CRSect-8.CR P-32CRSect-8.CR P-33CRSect-8.CR P-34CRSect-8.CR P-35CRSect-8.CR P-36CRSect-8.CR P-37CRSect-8.CR P-38CRSect-8.CR P-39CRSect-8.CR P-40CRSect-8.CT P-1CTSect-8.CT P-2CTSect-8.CT P-3CTSect-8.CT P-4CTSect-8.CT P-5CTSect-8.CT P-6CTSect-8.CT P-7CTSect-8.CT P-8CTSect-8.CT P-9CTSect-8.CT P-10CTSect-8.CT P-11CTSect-8.CT P-12CTSect-8.CT P-13CTSect-8.CT P-14CTSect-8.CT P-15CTSect-8.CT P-16CTSect-8.CT P-17CT

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Factoring Completely Factor the expression completely. 113. x2(x2 1) 9(x2 1)

Precalculus: Mathematics for Calculus (Standalone Book)

Simplify: 1339

Elementary Technical Mathematics

Simplify the expressions in Exercises 97106. x1/2yx2y3/2

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 5762, sketch the straight line defined by the given linear equation by finding the x- and y-interc...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

True or False: If Tn(x) is the nth Taylor polynomial for f(x) centered at c, then Tn(k)(c) = f(k)(c) for k = 0,...

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

True or False: converges if and only if .

Study Guide for Stewart's Multivariable Calculus, 8th

Sketching a Polar Graph In Exercises 87-96, sketch a graph or the polar equation. r=43cos

Calculus: Early Transcendental Functions (MindTap Course List)

Let gx=3x2+x-4. a. g0 b. g2 c. gk-1 Evaluate:

College Algebra (MindTap Course List)