Help plz what is the approximate area of the shaded region?
A. 21.5 square centimeters
B. 100 square centimeters
C. 178.5 square centimeters
D.78.5 square centimeters

Respuesta :

Answer:

Option A

Step-by-step explanation:

As ler the comment above, the square has sides of 10cm and circle inside it has a diameter of 10cm, to mean the radius of the circle is 5cm

The area of square is given by d*d

The area of circle is given by [tex]\pi*r^{2}[/tex]To get area of shaded part where we have a square of 10 cm and inside square is a circle of 10 cm diameter, then the shaded area is

Area of square minus circle

Area of square is 10*10=100

Area of circle is 3.14*5*5=78.5

Shaded area is 100-78.5=21.5 square centimeters

Answer:

See below

Step-by-step explanation:

There aren't any shaded area given and no diagram. So, the answer choices won't hold. I will attach one figure that has shaded region and show general way of finding area.

Here,

We have a square

Also, we have a circle

The area of shaded region is:

Area of Shaded = Area of Square - Area of Circle

Area of Square = length * length

Area of Circle = [tex]\pi r^2[/tex]

Now,

Area of square with lengths 20 each, is:

Area of Square = 20*20 = 400

Also,

Area of circle with diameter given 20, means radius is 20/2 = 10, so

Area of Circle = [tex]\pi (10)^2 = 100\pi[/tex]

Area of Shaded = [tex]400-100\pi=85.84[/tex] square centimeters

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