Question

the regular polygon has a radius of 9 m. find each angle measurement 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 measure.

Answer 1

polygon can have almost any number of sides.

Answer 2

im attaching the image now

Answer 3

first notice that it has 8 sides,
so its a regular octagon

Answer 4

so, the central angle made by each side = \(\large \frac{360}{8} = ? \)

Answer 5

45

Answer 6

yes, thats the angle made by each side at center O

Answer 7

can we say, \(\angle AOB = 45\) ?

Answer 8

yes

Answer 9

good :) we're done wid part b

Answer 10

lets look at part a

Answer 11

yep :)

Answer 12

so < AOX=1/2<AOB CORRECT?

Answer 13

correct correct !!

Answer 14

simplify,
wat do u get for <AOX ?

Answer 15

we need to use <AOX value for doing part c

Answer 16

ok how?

Answer 17

would we need to use tangent to find it?

Answer 18

lets see,
wat did u get for <AOX ?

Answer 19

22.5

Answer 20

draw the triangle AOX