A circular picture is 8 inches in diameter.
Part A
What is the area of the picture in square inches?
A. 4π square inches
B. 8π square inches
C. 16π square inches
D. 32π square inches
Part B
A frame that is 2 inches wide surrounds the picture. What is the total area of the picture and the frame in square inches?
A. 4π square inches
B. 12π square inches
C. 36π square inches
D. 40π square inches
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OpenStudy (anonymous):
@DangerousJesse
OpenStudy (dangerousjesse):
\(A = \pi r^2\)
OpenStudy (dangerousjesse):
Radius is two times the diameter, so \(\large \frac{8}{2}=?\)
OpenStudy (anonymous):
4
OpenStudy (dangerousjesse):
So \(A=\pi 4^2\) or \(\pi 4\) squared.
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OpenStudy (anonymous):
so a is a correct?
OpenStudy (dangerousjesse):
Add two inches to the radius to get six, and you get \(\pi 6^2=a\) yes, it's a.. I don't understand part b though
OpenStudy (anonymous):
hmmm
OpenStudy (anonymous):
@phi can u help?
OpenStudy (phi):
which part?
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OpenStudy (anonymous):
B
OpenStudy (phi):
can you sketch the problem (to see what they are talking about) ?
OpenStudy (anonymous):
well there is no pickture it just says: A frame that is 2 inches wide surrounds the picture. What is the total area of the picture and the frame in square inches?
OpenStudy (anonymous):
so they want to know the total area of the picture and the frame in square inches?
OpenStudy (phi):
Yes, and to make sense of that we (or I) would sketch what I think it looks like
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