Find the area of a circle whose circumference is 12pi ft.
A.
113.04 square feet
B.
24 square feet
C.
144 square feet
D.
108.12 square feet
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OpenStudy (anonymous):
help would be greatly appreciated
jimthompson5910 (jim_thompson5910):
you start by using the circumference formula
C = 2*pi*r
12*pi = 2*pi*r ... plug in the given circumference
6 = r ... divide both sides by 2pi (to isolate r)
r = 6
now you know the radius is 6 feet
jimthompson5910 (jim_thompson5910):
once you find the radius, you can find the area using
A = pi*r^2
OpenStudy (anonymous):
im confused
jimthompson5910 (jim_thompson5910):
do you see how I got r = 6 ?
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OpenStudy (anonymous):
yes but how do you multiply r^2
jimthompson5910 (jim_thompson5910):
r^2 means r squared
jimthompson5910 (jim_thompson5910):
so if r = 6, then r^2 = 6^2 = 6*6 = 36
jimthompson5910 (jim_thompson5910):
r = 6
r^2 = 36
OpenStudy (anonymous):
ok I know this ^ means square
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jimthompson5910 (jim_thompson5910):
^ means exponent actually
jimthompson5910 (jim_thompson5910):
when you have a 2 after the ^, it means square
^2 means squared
jimthompson5910 (jim_thompson5910):
^3 means cubed
etc etc
OpenStudy (anonymous):
so the answers a
jimthompson5910 (jim_thompson5910):
yep
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OpenStudy (anonymous):
thanks for your help
jimthompson5910 (jim_thompson5910):
np
OpenStudy (anonymous):
Find the area of a circle whose circumference is 12pi ft.