How to find the area of the shaded region? ?

Question

its a shaded circle and inside the circle is a square- not shaded- with measurements 2 on the width and 2 on the length

Answer 1

If the square is inscribed in the circle (the corners of the square touch the circle), then the diameter of the circle is the diagonal of the square.

Diagonal of the the square:

sqrt(2^2 + 2^2) = sqrt(4 + 4) = sqrt(8) = 2sqrt2

Diameter of the circle, D = 2sqrt2

r = D/2 = (2sqrt2)/2 = sqrt2

Area of a Circle:

A = pi r^2

A = pi(sqrt2)^2

A = pi(2) = 2pi

Area of a square:

A = l x w = (2)(2) = 4

The area of the shaded area:

Area of circle - area of square

2pi - 4 = 2(3.14) - 4 = 6.28 - 4 = 2.28

Answer 2

area of shaded region = area of circle -area of square

                                 =pi.r.r-2.2  

Answer 3

first you have to find the area of the entire circle than find the area of the square than subtract the area of the square of the area of the circle

to find area of circle do 3.14xr^2

to find area of square do the length times width

Answer 4

if the square is inscribed in the circle.. then the diameter of the circle is the diagonal of the square.. . .

diagonal = 2√2

thus the radius of the circle = √2

area of circle = π r^2 = π (√2)^2 = 2π

area of square = s^2 = 2^2 = 4

the square has to be removed from the circle:

thus area of shaded region = 2π - 4

Answer 5

Well first, you would find the area of the circle and also the area of the square. So the square would be 4 units squared. Then for the circle it would be 3.14r^2. Pi R squared if you didn't know. Subtract the area of the square from your amount that you got from the circle and you will have your answer! The radius of the circle is 2 also.