Question

The perimeter of a semicircle is 60 cmCalculate its area ​

Answer 1

Answer:

$572.96\:cm^2$

Step-by-step explanation:

Perimeter of the semi-circle:

$\frac{\pi d}{2}$

$60=\frac{\pi d}{2}$

$120=\pi d$

$\frac{120}{\pi } =d$

$d=38.197186$

Area of the semi-circle:

$\frac{\pi r^{2} }{2}$

$r=d/2\\r=38.197186/2\\r=19.098593$

$\frac{\pi \times 19.098593^{2} }{2}$

$=572.957785$

Answer 2

Circumference = 2πr

Circumference of a semicircle = πr

We need to find r. Given that the perimeter is 60 cm:

60 = π r

60 = 3.14r

60 ÷ 3.14 = r

19.11 = r

Area = πr²

Area = (3.14)(19.11)²

Area = (3.14)(365.19)

Area ≈ 1146.7 cm²

Divide by two since it's a semicircle:

1146.7 ÷ 2 = 573.35 cm²

Area of the semicircle measures about 573.35 cm²