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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