Find Area of Shaded Region

[solo_guitar]

See attachment.
Find area of shaded region. Try this one.

 

[Oculus8596]

See attachment.
Find area of shaded region. Try this one.

The hypotenuse is the diagonal of the square in the circle. The hypotenuse = 2•sqrt{2}.

Radius = Diameter ÷ 2

R = 2•sqrt{2}/2

R = sqrt{2}

The area of the circle is all that we need.

A = pi•R^2

A = pi•(sqrt{2})^2

A = 2•pi

Done!