Answer:
radius = 7 km
Step-by-step explanation:
The formula to find the area of a semicircle is:
Area = [tex]\frac{1}{2}[/tex] × π × r²
[r is the radius]
Substitute the values into the equation.
76.97 = [tex]\frac{1}{2}[/tex] × π × r²
76.97 × 2 = π × r²
153.94 = π × r²
r² = [tex]\frac{153.94}{\pi}[/tex]
r = [tex]\sqrt{\frac{153.94}{\pi } }[/tex]
r = [tex]\sqrt{49}[/tex]
r = 7 km
