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

Question

anonymous · Answer

attachment

anonymous · Answer

How many degrees are in a circle?

anonymous · Answer

360

anonymous · Answer

You can think of the central angle as a circle, divided by the number of sides

So 360/8

anonymous · Answer

45

anonymous · Answer

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

anonymous · Answer

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.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

Then sqrt both sides

anonymous · Answer

So 3.7