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

Explain how you can use a number line to show that 5/8isgreater than 3/8
Question: One third of a number, decreased by thirty-six is at most twenty-two.
Kevin is riding his bike on a 10 1/8 mile bike path. He has covered the first 5 3/4 miles already. How many miles does he have left to ride
in which of the following sentences is the word its used correctly? A. the monster reared its head at the tourists. B. when trying to catch fish, its important
All plots must have _____. themes conflict action dialogue
Among instances of corporate malfeasance in the early twenty-first century, the _______ scandal was the most shocking and economically damaging for employees an
which is a true statement about the open door policy
Identify the complete adjective clause. This course deals with facts that everyone should know
by 1920, constitutional amendments had had been created to
Tickets marked up 35% to 59.40 what is original price