Answer:
Diameter = 14 yd
Step-by-step explanation:
Given:
Area of semicircle = 76.97 yd²
Required:
Diameter of semicircle
Solution:
Area of a semicircle = ½(πr²)
Area = 76.97 yd²
Plug in the values
Thus:
½(π*r²) = 76.97
Multiply both sides by 2
πr² = 2*76.97
πr² = 153.94
Divide both sides by π
r² = 153.94/π
r² = 49.0
Take the square root of both sides
r = √49.0
r = 7 yd
Diameter = 2(r)
Diameter = 2(7) = 14 yd
