mprjug6 mprjug6
  • 29-01-2019
  • Mathematics
contestada

What is the area of a sector of a circle with radius 6, and an arc measure of 160 degrees?

Respuesta :

jimrgrant1 jimrgrant1
  • 29-01-2019

Answer:

see explanation

Step-by-step explanation:

The area of the sector (A) can be calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{160}{360}[/tex] ← r is the radius

   = π × 6² ×[tex]\frac{4}{9}[/tex]

   = 36π × [tex]\frac{4}{9}[/tex] = 16π ≈ 50.27 units² ( to 2 dec. places )


 

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