Frank jogs in a circular garden every day. The ground measures 5 feet from the center to the inner circle and an extra 3 feet from the inner circle to the outer circle. If Frank jogs around the outer circle twice, how much distance does he cover?
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OpenStudy (anonymous):
@elevel17
OpenStudy (anonymous):
@KenLJW
OpenStudy (anonymous):
@mathstudent55
OpenStudy (mathstudent55):
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OpenStudy (primeralph):
tell them to get a treadmill. Quite cheap nowadays.
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OpenStudy (mathstudent55):
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OpenStudy (mathstudent55):
The radius of the outer circle is 8 ft.
You need the circumference of the circle.
C = 2(pi)r
Plug in 8 ft for r. Then multiply the result by two since Frank goes twice around the circle.
OpenStudy (anonymous):
hmmm
well i got 50.24 but i think its asking for something else couse the answers possible are
A. 2p(5 + 8)
B. 2p(10 + 16)
C. p(8 – 5)
D. 2p(8 + 8)
OpenStudy (anonymous):
O! so its A!
OpenStudy (anonymous):
Thanks for the help been working on this problem forever
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OpenStudy (mathstudent55):
It's D
OpenStudy (anonymous):
how?
OpenStudy (mathstudent55):
C = 2(pi)r = 2 *pi * 8 for one lap
Two laps are 2pi8 + 2pi8 = 2pi(8 + 8)
OpenStudy (whpalmer4):
\(2\pi(5+8)\) represents the distance around the inner circle once and the outer circle once...
OpenStudy (anonymous):
but doesnt the 2 already count the 8+8?
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OpenStudy (whpalmer4):
No, the formula for the circumference of a circle is \(C = 2\pi r\).
OpenStudy (mathstudent55):
the 2 is from 2(pi)r, the formula for the circumference of a circle
OpenStudy (mathstudent55):
C = 2(pi)8 is only onle lap around the outer circle.