207k views
0 votes
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
pe here to search

2 Answers

5 votes

Answer:

(A)3.44 square feet

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

Anna cuts four identical circles from a square piece of black poster board as shown-example-1
User Antti Huima
by
3.2k points
6 votes

Answer:

3.44 square feet

Explanation:

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

Anna cuts four identical circles from a square piece of black poster board as shown-example-1
Anna cuts four identical circles from a square piece of black poster board as shown-example-2
Anna cuts four identical circles from a square piece of black poster board as shown-example-3
User Alexander Korovin
by
4.0k points