Question

Anna cuts four identical circles from a square piece of black poster board as shown.
What is the area of the leftover poster board? Use 3.14 for pi. *
(50 Points)
3.44 square feet
6.58 square feet
12.56 square feet
12.86 square feet
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Answer 1

Answer:

3.44 square feet

Step-by-step explanation:

Please kindly check the attached file for explanation and the picture of the poster board.

Answer 2

Answer:

(A)3.44 square feet

Step-by-step explanation:

Length of The Square = 4 feet

Area of the Square poster board = 4 X 4=16 Square Feet

In each of the circles,

Diameter = 2 Feet

Radius = 2/2 = 1 Feet

Area of a circle =$\pi r^2$

Area of 1 circle $=\pi*1^2=\pi ft^2$

Area of the 4 circles $=4*\pi=4\pi ft^2$

Therefore:

Area of the leftover Poster= Area of the Square- Area of the 4 Circles

$=16-4\pi\\=16-4*3.14\\=16-12.56\\=3.44 ft^2$