Question

Ellyana's landscape gardening business creates odd-shaped lawns that include semicircles. Which choice best represents the area of this semicircular section of the lawn in this design. Use 3.14 for piA: 452.16 meters squared B: 29.5788 meters squaredC: 56.52 meters squaredD: 226.08 meters squared

Answer 1

the area of a complete circle can be calculated with the next formula

`A=\pi r^2`

the radio is half of the diameter

r=12/2=6

First, we need to calculate the complete area

`A=\pi r^2=3.14\cdot6^2=113.04`

Because we have a semicircle the area is half of the area of the complete circle

`A_(sc)=(113.04)/(2)=56.52m^2`

Asn= area semicircle

The correct answer is C