Question

Erica has 8 squares of felt, each with area 16. For a certain craft project she cuts the largest circle possible from each square felt. What is the combined area of the excess felt left over after cutting out all the circles?

A) 4(4-π)
B) 8(4-π)
C) 8(π−2)
D) 32(4-π)
E) 16(16-π)

Answer 1

Concept: Area Analysis

1. Given: 8 sq of felt
2. They have an area of 16 each.
3. We want to maximize the area of a circle without cutting outside the square.
4. So we can have a circle with diameter 8
5. Hence 4(4-pi)