Mathematics
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OpenStudy (gabbyalicorn):
What is the approximate area of the shaded region?
A.
168.56 square inches
B.
696.08 square inches
C.
740.04 square inches
D.
1677.76 square inches
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OpenStudy (gabbyalicorn):
@HelpBlahBlahBlah @Here_to_Help15 @Nnesha
OpenStudy (anonymous):
Find the area of the circle and subtract it from the area of the square.
OpenStudy (gabbyalicorn):
Isn'the area of the circle 28?
OpenStudy (anonymous):
That is the length of one side of the square. It appears to me that the diameter of the circle would be 28, however.
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OpenStudy (gabbyalicorn):
however.....?
OpenStudy (anonymous):
I meant instead of the area, it's the diameter.
OpenStudy (anonymous):
So radius=14
OpenStudy (gabbyalicorn):
so 3.14 x 14 or 3.14 x 28 ?
OpenStudy (anonymous):
Area of a circle is \[\Large A=\Large \pi * \Large r^2\]
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OpenStudy (gabbyalicorn):
so 3.14 x 196
OpenStudy (anonymous):
yep.
OpenStudy (gabbyalicorn):
615.44
OpenStudy (anonymous):
And do you have the area of the square?
OpenStudy (gabbyalicorn):
28
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OpenStudy (gabbyalicorn):
so 615.44 + 28 ?
OpenStudy (anonymous):
Well, that's the side length of it.
OpenStudy (gabbyalicorn):
so 643.44?
OpenStudy (anonymous):
Area of a square is \[\large A=\large S^2\]
OpenStudy (gabbyalicorn):
whats s?
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OpenStudy (gabbyalicorn):
side?
OpenStudy (anonymous):
Side length
OpenStudy (gabbyalicorn):
the side length is... 28? right?
OpenStudy (anonymous):
Yep
OpenStudy (gabbyalicorn):
i got 784
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OpenStudy (anonymous):
Right. So 784-615.44=answer
OpenStudy (gabbyalicorn):
169 :D A
OpenStudy (gabbyalicorn):
^ right?
OpenStudy (anonymous):
Yep, good job :)
OpenStudy (gabbyalicorn):
Thank you! So much! Could you please help me with more? pls :3
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OpenStudy (anonymous):
No problem, but I gotta go. But there are plenty of other great explainers here willing to help, so good luck :)
OpenStudy (gabbyalicorn):
Okay, thank you!
OpenStudy (anonymous):
No problem :)