glitterss2005 glitterss2005
  • 12-04-2020
  • Mathematics
contestada

A tan is shaped as a sector of a circle radius 12cm with the angle 110 at the centre calculate the area of the fan

Respuesta :

jimrgrant1 jimrgrant1
  • 12-04-2020

Answer:

≈ 138.2 cm²

Step-by-step explanation:

The area (A) of the sector of the circle is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{110}{360}[/tex]

   = π × 12² × [tex]\frac{110}{360}[/tex]

   = 144π × [tex]\frac{110}{360}[/tex]

   = [tex]\frac{144(110))\pi }{360}[/tex] ≈ 138.2 cm² ( to 2 dec. places )

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