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Question 2
A circular picture is 8 inches in diameter.
Part A
What is the area of the picture in square inch
OA. 4TT square inches
OB. 8 square inches
OC. 16Tf square inches
OD. 32 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?
OA. 4TT square inches
OB. 12 TT square inches
OC. 36TT square inches
OD. 401 square inches
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Answer:

Part A: OC. 16Ï€ square inches

Part B: OC. 36Ï€ square inches

Step-by-step explanation:

Part A:

Given

Diameter of circular picture = d = 8 inches

We need to find the radius first to find the area

So,

Rdius = r = d/2 = 8/2 = 4 inches

[tex]Area = \pi r^2\\= \pi *(4)^2\\= 16\pi\ square\ inches[/tex]

Therefore, option C is the correct answer..

Part B:

As two inches frame is added around the picture, the diameter will become 8+4 =12 inches

The new radius will be:

r = 12/2 = 6

So,

[tex]Area\ with\ frame = \pi r^2\\=\pi *(6)^2\\=36\pi\ square inches[/tex]

Therefore, option C is correct ..

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