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A circular picture is 8 inches in diameter.

Part A.
What is the area of the picture in square inches.
A. 4 square inches
B. 8 square inches
C. 16 square inches
D. 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?
A. 4 square inches
B. 12 square inches
C. 36 square inches
D. 40 square inches

Respuesta :

aasiyahi

Answer:

part a: 16 sq in./ part b: 36 sq in

Step-by-step explanation:

part a: area= π*r² = π(d/2)² = π*(8/2)² =

π*4² = π*16 square inches

part b: d=8+4 = 12     r = d/2 = 6 in

Area = π*6²

=36π

Answer:

The correct answers aren't listed, but

Part A:  The area of the picture is 16π in²

Part B:  The area including the frame is 36π in²

Step-by-step explanation:

Part A:

The formula for area if a circle is A = πr²,  where A is the area, r is the radius, and π is the constant pi.

You are given the diameter of the circle, which is twice the radius, so divide the diameter in half to get the radius.

r = 8/2 = 4, so the area of the picture is

A = π(4²)

  A = 16π in²

Part B:  

Including the frame, the new diameter is 12 inches.  It adds two inches all around, so that's 2 inches on each side of the diameter (8 + 2 + 2 = 12)

The new radius is 12/6 = 6 inches,

The area of the picture and frame is

A = π(6²)

   A = 36π in²

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