Question

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

Answer 1

area=pir^2

d/2=r
8=d
8/2=4=r

aera=pi4^2
area=pi16
area=16pi in^2
C

frame 2 inches wide
add 2 to radius
2+4=6
A=pi6^2
A=pi36
A=36pi in^2

C


answer to both is C

Answer 2

The answer for the first question is C. 16π square inches
The area of a circle can calculated using the equation : A= πr2
Since the diameter = 8 in, the r= diameter/2
A= (4 in * 4 in)π
A= 16π square inches

The answer for the second question is C. 36π square inches
Since the frame is 2 in wide, it adds to the present 4 in radius.
The new radius = 6
A=(6 in *6 in)π
A= 36 π square inches

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