Respuesta :

Answer:

6pi cm^2

Step-by-step explanation:

The area of the sector with radius of 4cm and angle of 135° is 6 πcm²

What is the area of a sector?

The area of a sector can be defined as the amount of space occupied or enclosed within the boundary of a sector.

It is calculated thus;

Area, A = θ÷ 360° (πr∧2)

How to determine the area of a sector

Formula:

Area, A = θ÷ 360° (πr∧2)

Where  A = area of the sector

θ = angle

Substitute into formula

Area = 135÷ 360 × π ×4× 4 = 0. 375 × 16 = 6 πcm²

Hence, the area of a sector with radius of 4cm and angle of 135° is 6 πcm²

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