A painting shaped like a circle had a diameter of 20 inches. A circular frame extends 2 inches around the edge of the painting. How much wall space does the framed painting need? Use 3.24 for pi.

452.16

To calculate the wall space needed for the framed painting, we need to consider the diameter of the painting and the width of the frame.

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.

A = pi * r^2

A = 3.14 * 12^2

A = _______ sq. inches

W2