Step-by-step explanation:
The area of a sector can be written as a fraction of the area of a circle:
A = (θ/360) πr²
Given θ = 90° and r = 6 in:
A = (90/360) π (6)²
A = (1/4) 36π
A = 9π
A ≈ 28.3
The area of the sector is 9π in² or approximately 28.3 in².
