Question

The regular polygon has radius 9 m. Find each angle measure to the nearest tenth of a degree, each linear measure to the nearest tenth of a meter, and the square measure to the nearest square meter. a. b. c. OX d. AB e. the perimeter f. the area

Answer 1

a is the m of AOX
b is the m of AOB

Answer 2

c. OX
d. AB
e. the perimeter
f. the area

Answer 3

i need to find a, b,c,d,e,f please help me

Answer 4

@malkassir Are you online now?

Answer 5

yes

Answer 6

thnx for the reply

Answer 7

Hold on. I'm drawing a picture of your polygon.

Answer 8

okay thnx

Answer 9

I drew a diagram of a regular octagon.
To get each central angle, I divided 360 by 8 to get 45 degrees.
Each of the 8 triangles are congruent.
Each of the 8 triangles are isosceles.

Answer 10

Now, we'll draw the triangle OBA. We need its altitude because that is the apothem of the regular octagon.

Before we do that, do you have any questions?

Answer 11

So far, we have the measure of < AOB. It is a central angle and has measure 45. Check my arithmetic.

We'll draw up the diagram and get all the measures we can.

Then, we will return and fill in the missing lengths asked in the question.

Answer 12

well thank you so much

Answer 13

To get OX, use right triangle trig.

sin(67.5 degrees) = opposite leg/hypotenuse

sin(67.5 degrees) = OX / 9