Find the sum (the total measure) of the interior angles of an Octagon. Show all of your work

Mathematics

2 answers:

Andrew [12]3 years ago

7 0

Hope this answer helps

tatiyna3 years ago

4 0

One way to do this is use the fact that the exterior angles of all polygons add up to 360 degrees
So an exterior angle of a regular octagon = 360 / 8 = 45 degrees.
So each interior angle = 180 - 45 = 135 degrees

so total measure of all angles in octagon = 8 * 135 = 1080 degrees

You might be interested in

a perfect score on a test with 25 questions is 100 each question is worth the same number of points how many points is each ques

user100 [1]

4 because 100 divided by 25 is 4.

6 0

3 years ago

Read 2 more answers

Write cos 53 degrees in terms of sine.

SOVA2 [1]

Cos(x) = sin(90 - x)
cos(53) = sin(90 - 53)
cos(53) = sin(37)

7 0

3 years ago

A regular octagon has a radius of 6 ft and a side length of

Svetlanka [38]

Answer:

<h2>Area of the regular octagon is approximately 102ft²</h2>

Step-by-step explanation:

Given the radius and length of a side of regular octagon as shown;

radius = 6ft and length of side = 4.6ft

Area of a regular octagon is expressed as $A = 2(1+\sqrt{2} )a^{2}$ where a is the length of one side. Given a = 4.6ft

Area = $A = 2(1+\sqrt{2} )(4.6)^{2}\\$

$= 2(1+\sqrt{2} )*21.16\\= (2+2\sqrt{2})*21.16\\ = 4.83*21.16\\= 102.20ft^{2} \\$

Area of the regular octagon is approximately 102ft²

3 0

3 years ago

The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 28t2 – 24t, where t i

vekshin1

In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when $t > 0$