Question

Determine the measure of the central angle for a regular 8-sided polygon, round answers to one decimal place.

Answer 1

How many degrees are in a circle?

Answer 2

360

Answer 3

You can think of the central angle as a circle, divided by the number of sides

So 360/8

Answer 4

45

Answer 5

Exactly! Here is a visual for a hexagon (six sides) if it helps. Hence, 360/6 is 60.

Answer 6

The area of a regular hexagon is 35 in.2. Find the length of a side. Round your answer to the nearest tenth.
Select one:
a. 3.7 in.
b. 4.8 in.
c. 6.4 in.
d. 13.5 in.

Answer 7

Google says that the formula for a regular hexagon is (3sqrt(3))/2 times a^2 (a is the side) = area

Answer 8

So to solve you just divide 35 by (3sqrt(3))/2

Answer 9

Then sqrt both sides

Answer 10

So 3.7