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

- anonymous

- chestercat

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- anonymous

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## More answers

- Abhisar

For Part A
Area of a square = \(\sf \pi \times r^2\)
Where, r = radius = diameter/2

- Abhisar

Can u do it now?

- anonymous

umm i still dont get it :(

- Abhisar

Which part?

- anonymous

for part A, a?

- anonymous

??

- Abhisar

\(\huge \checkmark\)

- anonymous

are you sure?

- Abhisar

Yes, are you?

- anonymous

yes

- anonymous

now lets do part b

- Abhisar

No wait, no it's wrong.

- Abhisar

:(

- Abhisar

One silly mistake.

- anonymous

what is it

- Abhisar

Diameter is given 8, so radius will be 8/2 = 4. Correct?

- anonymous

yes

- Abhisar

Now, putting this value of radius in the formula I just told you we get area = \(\sf \pi \times 4^2\) = ?

- anonymous

whats the symbol in the beginning mean?

- 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

- anonymous

ok

- Abhisar

Moving on to the question, the correct answer for part A is?

- anonymous

i got 16

- Abhisar

Yes, \(\sf 16 \pi\) square inch to be more precise. Don't forget the "pi" !

- anonymous

ok thank you so much... dont leave because i will be tagging you again!! :)

- Abhisar

I m not leaving, so shall we move to part B?

- anonymous

yes

- Abhisar

Any idea?

- anonymous

uhh no

- anonymous

- Abhisar

So, any idea about Part B?

- anonymous

whats the equation, ill solve it

- Abhisar

|dw:1433965184199:dw|

- Abhisar

This is ur square frame which is 2 inch wide. Area of a square = \(\sf side^2\)

- anonymous

0k @Abhisar

- Abhisar

So the answer should be?

- anonymous

b

- anonymous

8

- Abhisar

oops..

- Abhisar

we did the part B wrong..

- Abhisar

|dw:1433965519276:dw|

- anonymous

whats the equation

- Abhisar

The frame is also circular and surrounds the circular picture. It says that the frame is 2 inches wide. Thus the radius of frame would be 4+2= 6 inch.

- Abhisar

Now, find the area by same equation u used before.

- anonymous

i got 36

- Abhisar

Are you missing something?
Only 36?

- anonymous

and 36 pie

- Abhisar

Correct 36\(\sf \pi\) square inch. Don't miss the pi if u want a apple pie (-:

- Abhisar

It's Pi not pie. Pie is the one u eat.

- anonymous

lol thanks :)

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