Question

10 yd

4 yd
What is the area of the shaded portion to the nearest hundredth? Enter the answer in the box.
square yards

What is the answer of the green portion?

Answer 1

Answer : The area of the shaded portion is 33.72 yd².

Step-by-step explanation :

Given:

Length of the box = 10 yd

Width of the box = 4 yd

Area of the shaded portion = Area of rectangular box - Area of half circle

First we have to calculate the area of rectangular box.

Area of rectangular box = Length of the box × Width of the box

Area of rectangular box = 10 yd × 4 yd

Area of rectangular box = 40 yd²

Now we have to calculate the area of half circle.

As we know that:

Area of circle = π × r²

where,

r = radius of circle

Area of half circle =
`(\pi * r^2)/(2)`

Radius of circle =
`(4yd)/(2)=2yd`

Area of half circle =
`(3.14 * (2yd)^2)/(2)`

Area of half circle = 6.28 yd²

Now we have to calculate the area of the shaded portion.

Area of the shaded portion = Area of rectangular box - Area of half circle

Area of the shaded portion = 40 yd² - 6.28 yd²

Area of the shaded portion = 33.72 yd²

Therefore, the area of the shaded portion is 33.72 yd².