00:01
So suppose we know that this angle is going to be 80 degrees and the radius is 6.
00:07
7 meters.
00:09
Okay, so what fraction of the circle is given? so my whole circle all the way around is 360 degrees.
00:19
So this is just 80 divided by 360 degrees.
00:22
Okay, so this is the same as 8 over 36.
00:25
If i divide by 4 to both sides, this is 2 over 9.
00:30
This would be the fraction of the circle that i'd be finding the area of.
00:35
What is the area of this fraction of the circle? well, what i do is just find the area of the entire circle.
00:45
Area formula is pi times the radius squared.
00:48
So this is just 36 pi times.
00:51
This is two nints of the circle times two over nine.
00:54
My nine would cut this out.
00:56
So this would exactly be eight pi in area centimeters squared.
01:01
So my exact area of the circle is just eight pi.
01:04
And then what is my arc length? well, what's my arc length formula? well, my arc length is just my radius times theta, but theta has to be in radiance...