Question

Sarah is designing a logo. First, she paints a green square with side lengths of 5 feet. Then she uses blue paint to inscribe two semicircles as shown. What is the area of the part of the logo that is still green?

Answer 1

Firstly, Sarah paints a green square with side lengths of 5 feet.

Then she uses blue paint to inscribe two semicircle means the semi circles are inside the square.

Two semi circles form a circle. So, the area of the green part will be the area of square minus the area of circle.

The diagram is not given but the concept of the question is clear.

Area of square =
`5*5=25` units square

The radius of the circle will be half of 5 that is 2.5

Area of circle is given by :
`\pi r^(2)`

So, area of circle =
`3.14*2.5*2.5=19.625` units square

Now, area of the green portion will be =
`25-19.625=5.375` units square.

Answer 2

To find the area of the part that is still green you will find the area of the square and subtract the area of the whole circle that would be created with the blue paint inside the square.

A = bh
5 x 5
A = 25 square feet (Square)

A = pi x r^2
3.14 x 2.5^2
A = 19.625 square feet (Circle)

25 - 19.625 = 5.375

The approximate area is 5.375 square feet.