Answer: Area of the shaded part = 0.792πx²
Explanation:
The shaded part of the given circle is a sector. The sum of the angles at a point is 360 degrees. Therefore, that central angle formed by the sector would be
360 - 75 = 285 degrees
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
From the information given,
Radius, r = x
θ = 285 degrees
Area of the shaded part = 285/360 × π × x²
= 0.792πx²