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3 years ago

A sector with a radius of 6 cm has a central angle measure of 4pi/9 in radians. What is the area of the sector?

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

3 0

Answer:

8πcm² = 8pi cm²

Step-by-step explanation:

The formula for area of a sector = ½r²θ

Where r = radius = 6cm

θ = central angle = 4pi/9 in radians = 4π/9

Area of the sector = 1/2 × 6² × 4π/9

Area of the sector = (144π/18)cm²

Area of the sector = 8πcm²

Therefore, Area of the sector =

8πcm² = 8pi cm²

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