The Area of the shaded region of the circle = 60.75π m²
The Length of arc ADB = ∅/360 × 2πr = 13.5π m.
What is the Area of a Shaded Region?
The area of the shaded region in the circle = area of the sector of a circle = ∅/360 × πr², where r is the radius of the circle and the central angle is ∅.
What is the Length of an Arc of a Circle?
The length of the arc on a circle = ∅/360 × 2πr, where r is the radius of the circle and the central angle is ∅.
Given the following:
Central angle (∅) = 360 - 90 = 270°
Radius (r) = 9 m.
Area of the shaded region of the circle = ∅/360 × πr² = 270/360 × π(9²)
Area of the shaded region of the circle = 270/360 × π81
Area of the shaded region of the circle = 60.75π m²
Length of arc ADB = ∅/360 × 2πr = 270/360 × 2π(9)
Length of arc ADB = ∅/360 × 2πr = 270/360 × 18π
Length of arc ADB = ∅/360 × 2πr = 13.5π m.
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