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

Given:
Circular picture:
diameter = 8 inches
radius = d/2 = 8/2 = 4 inches

Part 1:
Area of a circle = π r²
A = 3.14 * 4²
A = 3.14 * 16 in² ⇒ Choice C.
A = 50.24 in²

Part 2.
Additional 2 inches surrounds the circular picture.
radius = 4 + 2 = 6 inches
A = 3.14 * 6²
A = 3.14 * 36in² ⇒ CHOICE C.
A = 113.04 in²