A = pi * r^2
A = 3.14 * 12^2
A = _______ sq. inches
A = 3.14 * 12^2
A = _______ sq. inches
Step 1: Calculate the radius of the painting.
The diameter of the painting is given as 20 inches. The radius (r) can be found by dividing the diameter by 2.
r = 20 / 2 = 10 inches.
Step 2: Calculate the radius of the framed painting.
The frame extends 2 inches around the edge of the painting. To find the radius of the framed painting, we add the frame width to the original radius.
Radius of framed painting = radius of painting + frame width = 10 + 2 = 12 inches.
Step 3: Calculate the area of the framed painting.
The area of a circle can be found using the formula A = πr^2, where A is the area and r is the radius.
Area of framed painting = 3.24 * 12^2 = 3.24 * 144 = 466.56 square inches.
Therefore, the framed painting requires 466.56 square inches of wall space.