area of sector \(\frac{1}{2}(r^2)(\theta) = A\)
For the first one you have
\(\frac{1}{2}(10^2)(\theta)=100 \\ \frac{1}{2}(100)(\theta) = 100\\50\theta = 100\\ \theta = 2\)
snowflake0531:
"Leave in terms of pi (if needed)" it's not needed for the first one, because it's just 2 radians
m4nt1c0r3:
Oh I thought it was over 360
snowflake0531:
For the second one
\(\frac{1}{2}(r^2)(\frac{\pi}{3}) = 6\pi\)
\(\frac{\pi}{6}(r^2) = 6\pi\)
\(r^2 = 36\)
\(r=6\)
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snowflake0531:
@m4nt1c0r3 wrote:
Oh I thought it was over 360
there's no such thing as "i think" in math
use the formula, and find the variables
snowflake0531:
for the third one
\(V = \frac{1}{2}(4^2)(\frac{\pi}{2})\)
\(V = \frac{1}{2}(16)(\frac{\pi}{2})\)
\(V = 8(\frac{\pi}{2})\)
\(V = 4\pi\)
snowflake0531:
honestly, i'm so confused on how you got your three answers
care to explain?
m4nt1c0r3:
I thought the formula was θ/360 (pi)(r^2) = A
Extrinix:
@snowflake0531 wrote:
honestly, i'm so confused on how you got your three answers
care to explain?
Three seperate questions snow.
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m4nt1c0r3:
Lol well thanks anyways :)
snowflake0531:
one sec let me go to your previous problem
m4nt1c0r3:
which one?
snowflake0531:
okay so
@m4nt1c0r3 wrote:
I thought the formula was θ/360 (pi)(r^2) = A
that would be for degrees, you see theta out of 360, which means that it's in degrees, so that's the wrong formula
snowflake0531:
So remember there are two different formulas for circle things, radians and degrees, and know when to use which