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

Otras preguntas

The diameter of your bicycle wheel is 25 inches. How far will you move in one turn of your wheel?
The base of right prism is rhombus of diagonal is 6 and 8cm and altitude is 12 cm find total surface area
Find an equivalent ratio for 22/55 then write the proportion ?
if you live 35 miles from work & drive 35 mph how long would it take to get there
The dimensions of a brick that weighs 25 N are 0.19 m × 0.07 m × 0.095 m. What pressure does the brick exert on the ground if it is resting on its largest face?
solve 2/3 + 1/4x = 1/3
Find an equivalent ratio for 22/55 then write the proportion ?
solve 2/3 + 1/4x = 1/3
The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3
Buck drove 220 miles in 5 hours. What was his average rate of speed?