Question

HELP ME PLEASE!!!!!!!

Answer 1

400 - 100π

Explanation:

l = length of a side of a square

= 20 m

All sides of a square are equal to each other

∴Area of a square = Length × Width

= l × l

=
`l^(2)`

=
`(20)^(2)`
`m^(2)`

= 400 square meters

r = radius of a circle

= 10 m

∴Area of a circle =
`\pi r^(2)`

=
`\pi (10)^(2)`
`m^(2)`

= 100π square meters

It can be observed that the square is bigger than the circle, therefore the area of the square is more than the area of the circle. The circle is in fact embedded in the square. The difference in the areas indicate how much greater the square area is than the circle area:

Let:

x = How much greater the square area is than the circle area

∴Area of square = Area of circle + x

x has to be isolated and made the subject of the equation:

x = Area of square - Area of circle

=
`(400 - 100\pi)`
`m^(2)`

∴Option B