Answer:
27.6 cm²
Step-by-step explanation:
The area of a sector is given by ...
A = (1/2)r²θ
where r represents the radius, and θ represents the central angle in radians.
The radius is half the diameter, so is 4.75 cm. The angle in radians is ...
(140°)(π/180°) = 7π/9
So, the sector area is ...
A = (1/2)(4.75 cm)²(7π/9) ≈ 8.77π cm² ≈ 27.6 cm²
The area of the sector is about 27.6 cm².
