calebcleary2018 calebcleary2018
  • 10-12-2021
  • Mathematics
contestada

A sector with a radius of 6cm has a central angle measure 4pie/9 (in radius)

What is the area of the sector ?


Respuesta :

acali27 acali27
  • 10-12-2021

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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