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A circle is cut out of a square as shown.

10 feet

What is the approximate area of the shaded portion of the figure?
A 22 square feet
B 37 square feet
C 69 square feet
D 35 square feet​

A circle is cut out of a square as shown10 feetWhat is the approximate area of the shaded portion of the figureA 22 square feetB 37 square feetC 69 square feetD class=

Respuesta :

ChiNishikata

Answer:

22 ft^2

Step-by-step explanation:

d of the cirlce=10 ft

Area of cirlce=pi(d^2)/4

=pi×(10^2)/4

=pi×(100)/4

p=pi×25

= Approximately, 78.539 ft^2

Length of square=10ft

Area of square=l^2

=10ft^2

=100 ft^2

Area of shaded portion=Area of square-Area of square

=100ft^2-78.539

=22 ft^2(closest given on the problem)

The area of the shaded region is 21.5 square feet.

What is a circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.

According to the given problem,

Side of the square = 10 feet

Area of the square = ( 10 × 10 ) square feet

                               = 100 square feet

Diameter of the circle = 10 feet

Radius of the circle = 10/2 feet

                                = 5 feet

Area of the circle = πr²

                             = π × 5²

                             = 25π

Area of the shaded region = ( 100 - 25π )

                                             = 21.5 square feet.

Hence, we can conclude, the area of the shaded region is 21.5 square feet.

Learn more about circles here: https://brainly.com/question/11833983

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