3. Find the area of the shaded region. Leave your answer in terms of pi. (1 point)

A. (4+4pi)ft^2
B. (4-pi)ft^2
C. (4+pi)ft^2
D. (4-4pi)ft^2

3 Find the area of the shaded region Leave your answer in terms of pi 1 point A 44pift2 B 4pift2 C 4pift2 D 44pift2 class=

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ANSWER

B.

[tex] (4 - \pi) {ft}^{2} [/tex]

EXPLANATION

The area of the square is

[tex] {l}^{2} [/tex]

The length of the square is

[tex]l = 2ft[/tex]

The area of the square is

[tex] = {2}^{2} = 4 {ft}^{2} [/tex]

Area of the circle is

[tex] = \pi \: {r}^{2} [/tex]

The radius of the circle is

[tex]r = \frac{2}{2} = 1ft[/tex]

Area of circle is

[tex] = \pi \: \times {1}^{2} = \pi {ft}^{2} [/tex]

The area of the shaded region is

[tex] = (4 - \pi) {ft}^{2} [/tex]

The area of the shaded region in terms of pi is (4-pi)ft^2

What is the area of the shaded portion?

The area of the shaded portion is the area of the square less the area of the ciricle.

Area of the square = length²

2² = 4

Area of a circle = πr²

Where :

  • π = pi = 22/7
  • R = radius = 2/2 = 1

π x 1² = π

Area of the shaded region = (4-pi)ft^2

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

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