Question

Tammy cuts four identical circles from a square piece of black poster board as shown. What is the area of the leftover poster board?

a) 6.240 square feet
b) 5.375 square feet
c) 18.760 square feet
d) 19.625 square feet

Answer 1

B) 5.375

Explanation:

The circles are half the square so their diameter will be half the length of the square

d=5/2=2.5

the formula is

area of shaded portion-area out unshaded portion

area of a square= l×l

5×5=25

area of a circle=πr^2

but since there are 4 circles it becomes 4πr^2

r=d/2=2.5/2=1.25

area of unshaded portion= 4×3.14×1.25×1.25

=19.625

area of leftover=25-19.625

= 5.375