Cupcakes2022 Cupcakes2022
  • 25-07-2022
  • Mathematics
contestada

N=
Help me please!!! Asap thanks so much :)

N Help me please Asap thanks so much class=

Respuesta :

jimrgrant1 jimrgrant1
  • 25-07-2022

Answer:

n = 100

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

given A = 40π , then

πr² × [tex]\frac{n}{360}[/tex] = 40π

π × 12² × [tex]\frac{n}{360}[/tex] = 40π

144π × [tex]\frac{n}{360}[/tex] = 40π ( divide both sides by π )

144 × [tex]\frac{n}{360}[/tex] = 40 ( multiply both sides by 360 to clear the fraction )

144n = 14400 ( divide both sides by 144 )

n = 100

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