Answer:
[tex]12.5\pi \: units^{2} [/tex]
Step-by-step explanation:
Area of semicircle= 1/2 area of circle
[tex]area \: of \: circle = \pi {r}^{2} [/tex]
Thus,
[tex]area \: of \: semicircle = \frac{1}{2} \pi {r}^{2} [/tex]
Given that the diameter is 10 units,
radius= 10÷2
radius= 5 units
subst. r=5 into the formula:
Area of semicircle
[tex] = \frac{1}{2} (\pi)( {5}^{2} ) \\ = \frac{25}{2} \pi \\ = 12.5\pi \: units^{2} [/tex]
