Question

The patio at the back of the house is to be extended into the backyard in a semi-circle. What will be the area of the yard
after the patio is done?

Answer 1

Answer:

A = 413 sq feet

Step-by-step explanation:

The area of the yard = area of rectangle - area of semicircle

The radius of the semicircle, r = 10  feet

The length of the rectangle = 38.5 - 10 = 28.5 feet

So,

The area of the yard = lb - (πr²/2)

$=20\times 28.5-(\dfrac{3.14\times 10^2}{2})\\\\A=413\ ft^2$

So, the required area is equal to 413 sq feet.