tamaraw5678 tamaraw5678
  • 17-05-2020
  • Mathematics
contestada

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.



What is the length of the arc?

Respuesta :

Hrishii
Hrishii Hrishii
  • 17-05-2020

Answer:

length of the arc = 6.28 ft

Step-by-step explanation:

[tex]r = 3 \: ft \\ central \: angle \: ( \theta) = \frac{2\pi^{c} }{3} = 120 \degree \\ \\ l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ l = \frac{ 120 \degree}{360 \degree} \times 2 \times 3.14 \times 3\\ \\l = \frac{ 1}{3} \times 6.28 \times 3\\ \\ l = 6.28 \: ft \\ [/tex]

Answer Link

Otras preguntas

"A cell contains a solution of 25% salt. The cell floats in a solution with 5% salt. What will happen to this cell? Select all that apply."
Need help asap on this question
Help please!!!!!! Need answer!
The division of the geology concerned with earth materials, changes in the surface and interior of the earth, and the dynamic forces that cause those changes is
Discuss how immigration patterns influence the management of the U.S. labor force.
Write 1 paragraph about your new year's resolution.​
A 16.0 kg canoe moving to the left at 12.5 m/s makes an elastic head-on collision with a 14.0 kg raft moving to the right at 16.0 m/s. After the collision, the
Who Fought in the French and Indian War?
How do I express y in terms of x?
The heights of women aged 20 – 29 in the United States are approximately Normal with mean 64.2 inches and standard deviation 2.8 inches. The heights of men aged