Question

A semicircular flower bed has a diameter of 3 metres. What is the area of the flower bed?

Answer 1

You would divide 3 by 2 than you would square 1.5 and multiply it by 3.14 7.065

Answer 2

The area of circle is

$A_{\text{circle}}=\pi r^2.$

Then the area of semicircular region is

$A_{\text{semicircular region}}=\dfrac{1}{2} \pi r^2.$

If r=3 m, you have

$A_{\text{semicircular region}}=\dfrac{1}{2} \pi \cdot 3^2=\dfrac{9\pi}{2}=4.5\pi \approx 14.13$ sq. m.

Answer: $A_{\text{semicircular region}}=4.5\pi \approx 14.13$ sq. m.