Answer:
Area of sector ≈ 15.6π (nearest tenth)
Step-by-step explanation:
Given:
radius = 5 cm
Central angle in radians = ∅ = 5π/4
Required:
Area of the sector
Solution:
Area of sector = ½*r²*∅
Plug in the values into the formula
Area of sector = ½*5²*5π/4
= ½*25*5π/4
= 12.5*5π/4
= (12.5*5π)/4
Area of sector = 15.625π ≈ 15.6π (nearest tenth)
