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):
@Nnesha
OpenStudy (anonymous):
@Abhisar
OpenStudy (anonymous):
@Nnesha
OpenStudy (abhisar):
For Part A
Area of a square = \(\sf \pi \times r^2\)
Where, r = radius = diameter/2
OpenStudy (abhisar):
Can u do it now?
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OpenStudy (anonymous):
umm i still dont get it :(
OpenStudy (abhisar):
Which part?
OpenStudy (anonymous):
for part A, a?
OpenStudy (anonymous):
??
OpenStudy (abhisar):
\(\huge \checkmark\)
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OpenStudy (anonymous):
are you sure?
OpenStudy (abhisar):
Yes, are you?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
now lets do part b
OpenStudy (abhisar):
No wait, no it's wrong.
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OpenStudy (abhisar):
:(
OpenStudy (abhisar):
One silly mistake.
OpenStudy (anonymous):
what is it
OpenStudy (abhisar):
Diameter is given 8, so radius will be 8/2 = 4. Correct?
OpenStudy (anonymous):
yes
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OpenStudy (abhisar):
Now, putting this value of radius in the formula I just told you we get area = \(\sf \pi \times 4^2\) = ?
OpenStudy (anonymous):
whats the symbol in the beginning mean?
OpenStudy (abhisar):
It's called as "pi" and its value = 3.14. So if it is written \(\sf 16 \pi\), it actually means 16 \(\sf \times ~\pi\) or if you want to simplify it more it means 3.14 \(\sf \times\) 16
OpenStudy (anonymous):
ok
OpenStudy (abhisar):
Moving on to the question, the correct answer for part A is?
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OpenStudy (anonymous):
i got 16
OpenStudy (abhisar):
Yes, \(\sf 16 \pi\) square inch to be more precise. Don't forget the "pi" !
OpenStudy (anonymous):
ok thank you so much... dont leave because i will be tagging you again!! :)
OpenStudy (abhisar):
I m not leaving, so shall we move to part B?
OpenStudy (anonymous):
yes
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OpenStudy (abhisar):
Any idea?
OpenStudy (anonymous):
uhh no
OpenStudy (anonymous):
@Abhisar
OpenStudy (abhisar):
So, any idea about Part B?
OpenStudy (anonymous):
whats the equation, ill solve it
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OpenStudy (abhisar):
|dw:1433965184199:dw|
OpenStudy (abhisar):
This is ur square frame which is 2 inch wide. Area of a square = \(\sf side^2\)
OpenStudy (anonymous):
0k @Abhisar
OpenStudy (abhisar):
So the answer should be?
OpenStudy (anonymous):
b
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