Best answer will get Brainliest! A circular picture is 8 inches in diameter. Part A What is the area of the picture in square inches?
 
A. 4 π square inches
B. 8 π square inches
C. 16 π square inches
D. 32 π 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 π square inches
B. 12 π square inches
C. 36 π square inches
D. 40 π square inches

Respuesta :

​Part A

​We have to apply the formula to calculate the area of a circle. Area = π *R²

But since they have given us the diameter we have to divide it by two to obtain the radius.​

​R = diameter/2 = 8inches/2 = 4inches

Now we apply this value in the area formula :​

Area = π *R² = (4 inches)²*π = 16inches²π = 16 π square inches

Answer A] : C.) 16 π square inches

Part B​

​If a 2-inch frame surrounds the figure, then we now have a circle with the radius increased by 2 inches.

R = 4 inches + 2 inches = 6 inches​

Now we apply this new value in the area formula :​

Area = π *R² = (6 inches)²*π = 36inches²π = 36 π square inches​

​Answer B] = C.) 36 π square inches

Hope this helps!​​​​​

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