Question

Find the area of the yellow region, and no the answer to this exact question before was not correct. Thank you!

Answer 1

39 sq.in

Explanation:

find area of circle then subtract

Answer 2

3.9 in²

Explanation:

The shape is constructed of 2 semicircles (with diameter of 6 in) inside a square. Therefore, to calculate the yellow region, subtract the area of the semicircles (which form a circle) from the area of the square, then halve the answer.

Area of a square =
`x^2` (
`x` is the length of one side)

Given:

• side length = 6 in

⇒ area of the square = 6² = 36 in ²

Area of a circle =
`\pi r^2`

Diameter of a circle = 2r

(where r is the radius)

Given:

• diameter = 6 in ⇒ r = 3 in

⇒ area of the circle =
`\pi` × 3² = 9
`\pi` in²

Area of yellow region = (area of square - area of circle) ÷ 2

= (36 - 9
`\pi`) ÷ 2

= 3.9 in² (nearest tenth)