Answer: the radius of the circle is 7.5 meters
Step-by-step explanation:
The formula for determining the area of a sector is expressed as
Area of sector = θ/360 × πr²
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
70.7 square meters
θ = 144 degrees
Therefore,
70.7 = 144/360 × 3.14 × r²
70.7 = 1.256r²
r² = 70.7/1.256
r² = 56.29
Taking square root of both sides of the equation, it becomes
r = √56.29
r = 7.5 meters
