Answer: area of the partial circle is
9.42 cm²
Explanation:
The partial circle is a sector. Since the central angle of the sector that is cut off is 90 degrees, then the central angle of the partial circle is 360 - 90 = 270 degrees
To determine the area, we would apply the formula for determining the area of sector which is expressed as
Area = 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,
r = 2 cm
θ = 270 degrees
Area = 270/360 × 3.14 × 2² =
9.42 cm²