trentonaaronestrada
trentonaaronestrada trentonaaronestrada
  • 02-06-2021
  • Mathematics
contestada

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

A. 8π/3
B. 16π/3
C. 16 π

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 02-06-2021

Answer:

16 pi

Step-by-step explanation:

First find the area of the circle

A = pi r^2

A = pi (6)^2

A = 36 pi

Then find the fraction of the circle the sector is

A circle is 360 degrees

160/360 = 4/9

Multiply the area by the fraction

4/9 * 36 pi

16 pi

Answer Link
favourayoleyi
favourayoleyi favourayoleyi
  • 02-06-2021

Answer:

C: 16π

Step-by-step explanation:

Area of a sector =

[tex] = \frac{angle }{360} \times \pi \: r {}^{2} [/tex]

Answer Link

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