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OpenStudy (kikuo):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
What is the area of the whole circle?
OpenStudy (shelbywyatt):
something eww
OpenStudy (shelbywyatt):
81pi
OpenStudy (kikuo):
360
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OpenStudy (kikuo):
I mean
OpenStudy (kikuo):
Yeah, 81pi.
9x9
jimthompson5910 (jim_thompson5910):
Area of full circle = 81 pi
Central Angle = 45 degrees (180 - 35 = 45)
\[\Large \text{Area of Sector} = \frac{\text{Central Angle}}{360}*(\text{Area of Full Circle})\]
\[\Large \text{Area of Sector} = \frac{{\color{red}{\text{Central Angle}}}}{360}*({\color{blue}{\text{Area of Full Circle}}})\]
\[\Large \text{Area of Sector} = \frac{{\color{red}{45}}}{360}*({\color{blue}{81\pi}})\]
I'll let you finish
OpenStudy (shelbywyatt):
(180 - 35 = 45)
how can you explain please
jimthompson5910 (jim_thompson5910):
|dw:1463124197446:dw|
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jimthompson5910 (jim_thompson5910):
|dw:1463124215806:dw|
jimthompson5910 (jim_thompson5910):
|dw:1463124227108:dw|
OpenStudy (shelbywyatt):
oh ok
jimthompson5910 (jim_thompson5910):
oops typo, I didn't realize I wrote `(180 - 35 = 45)` when it should have been `(180 - 135 = 45)`
OpenStudy (shelbywyatt):
oh ok, first i thought it was something i didnt learn yet
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OpenStudy (kikuo):
I understand so far
jimthompson5910 (jim_thompson5910):
what is 45/360 equal to @Kikuo ?
OpenStudy (shelbywyatt):
45/360= 9/72?
OpenStudy (kikuo):
.125
jimthompson5910 (jim_thompson5910):
multiply `0.125` with `81` to get what?
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81 not 85
the full circle has 81pi as the full area
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OpenStudy (shelbywyatt):
'thanks'
jimthompson5910 (jim_thompson5910):
you're using the wrong tick mark
OpenStudy (shelbywyatt):
`oh yeah`
OpenStudy (kikuo):
Why aren't we taking .125 away from 81?
jimthompson5910 (jim_thompson5910):
because we're taking a fraction of the full circle
example: if we spit the circle into 3 equal pieces, and we want the area of one of the pieces then
area of one slice = (1/3)*(area of full circle)
area of one slice = (1/3)*(81pi)
area of one slice = 27pi
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OpenStudy (kikuo):
Aw that makes sense.
So, 10.125
jimthompson5910 (jim_thompson5910):
yep the area of that slice is \(\Large 10.125\pi\)