Question

What is the approximate area of the shaded region

Answer 1

check the picture below.

so, is really just a circle with a diameter of 8, inscribed in a square whose sides are 8 each.

since the diameter of the circle is 8, its radius is half that, or r = 4.

now, if we get the area of the square, namely 8*8, that includes the circle's area, but if we also get the area of the circle, namely A =πr² and thus π4² and "subtract" it, we're in effect making a hole in the square, and what's leftover is the shaded region.


`\bf \stackrel{square's~area}{(8\cdot 8)}~~-~~\stackrel{circle's~area}{\pi 4^2}`

Answer 2

The correct option is 3.

Explanation:

The given figure is a square and the a circle inscribed in it.

It is given that the length of side of square is 8 m. So the diameter of the circle is 8 m and radius is 4 m.

The area of a square is

`A=a^2`

Substitute a=8 to find the area of square.

`A_1=8^2=64`

The area of a circle is

`A=\pi r^2`

Substitute π=3.14 and r=4.

`A_2=(3.14)(4)^2=50.24`

The area of shaded region is the difference of area of square and circle.

`A=A_1-A_2`

`A=64-50.24`

`A=13.76`

The area of shaded region is 13.76 m². Therefore the correct option is 3.