Answer:
a. About 263.08 m²
Step-by-step explanation:
First find the radius (r):
Area of sector = central angle/360 ×πr²
Area of sector = 85.5 m²
Central angle = 117°
Plug in the values into the equation
85.5 = 117/360 × π*r²
85.5 = 1.02 × r²
85.5 - 1.02 = r²
84.48 = r²
r = √84.48
r = 9.19 m
✔️Find the area of the circle
Area of the circle = πr²
Where,
r = 9.19
Plug in the value
Area = π*9.2²
Area = 265.326663 (this is close to 263.08 cm²)
Area therefore is about 263.08 cm².
