Question

What is the area of a sector with a central angle of 160 degrees and a diameter of 5.8 m? Round the answer to the nearest tenth.

Answer 1

\[\frac{\text{ Area of sector }}{\text{ Area of circle }}=\frac{\text{central angle }}{ 360^\circ }\]

Answer 2

solve for Area of sector

remember area of a circle (you know the full circle ) is pi*r^2

Answer 3

\[\frac{\text{ Area of sector }}{\pi r^2}=\frac{\text{central angle }}{ 360^\circ }\]

Answer 4

multiply both sides by pi*r^2
to get the formula for area of sector

Answer 5

\[\text{ Area of sector }= \pi r^2 \cdot \frac{\text{ central angle}}{360^\circ}\]

Answer 6

this formula is when the central angle is in degrees

Answer 7

which it is here

Answer 8

pi*r^2 should be 8.41*pi not just 8.41

Answer 9

\[360x = 1345.6\pi\]
?

Answer 10

which did you multiply both sides by 360

Answer 11

you are trying to solve for x
not 360x :p

Answer 12

\[x=\frac{1345.6 \pi}{360}\]

Answer 13

why did you multiply both sides by 360
*

Answer 14

I was writing down, like, the v first step of the equation. I tend to take things in baby steps, hah

Answer 15

Hm... I think I got it wrong somewhere cause 3.7 isn't exactly a viable answer

Answer 16

Hang on

Answer 17

yea 3.7 isn't correct

Answer 18

looks like you keep ignoring the pi in your calculations

Answer 19

Whoops

Answer 20

did you get your answer yet?

Answer 21

use 3.14 for pi

you have 3.73 * 3.14 is the last thing you should have now

Answer 22

i'm sorry
i must go

Answer 23

Oh, alright! I'll try and work it out from here.

Answer 24

Got it! 11.7 m^2