Answer:
Step-by-step explanation:
The shaded area is a sector of the circle. The formula for determining the area of a sector is expressed as
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,
Radius, r = 12 cm
θ = x°
Area of sector = 54π
Therefore,
54π = x/360 × π × 12²
54π × 360 = x × π × 12
19440π = 144πx
Dividing through by π, it becomes
19440 = 144x
x = 19440/144
x = 135°
