Can anybody help with this?

Question

A rectangle is placed around a semicircle as shown below. The length of the rectangle is4yd

. Find the area of the shaded region.Use the value

3.14 for Pi

Answer 1

Thanks Haisha.

 

Ok, we have a semicircle that had a diameter of 4 yards, the length of the rectangle.

The width of the rectangle is 2 yards, the radius of the semicircle.

 

The formula for the area of a circle is A = πr²

The formula for the area of a semicircle is 1/2A = (1/2)πr²

 

(1/2)(3.14)(2²) = 6.28 sq yards

 

By the way, the area of the rectangle would be (4x2) = 8 sq yards.

And the area of the rectangle, not shaded is the difference between the area of the rectangle and the area of the semi-circle.

 

8 - 6.28 = 1.72 sq yards.