EllajaneE345178 EllajaneE345178
  • 03-11-2022
  • Mathematics
contestada

In a circle, a central angle is 15 degrees and a radius is 8 cm. What is the length of the intercepted arc

In a circle a central angle is 15 degrees and a radius is 8 cm What is the length of the intercepted arc class=

Respuesta :

ThyO116256 ThyO116256
  • 03-11-2022

Given:

In a circle, a central angle is 15 degrees and a radius is 8 cm.

Required:

What is the length of the intercepted arc

Explanation:

We know the formula for length of arc

[tex]\text{ Arc length =}\frac{\theta}{360}\times2\pi r[/tex]

Where, theta is central angle and r is radius.

Now,

[tex]\begin{gathered} \text{ Arc length =}\frac{15}{360}\times2\pi\times8 \\ =\frac{2\pi}{3} \end{gathered}[/tex]

Answer:

Option A is correct.

Answer Link

Otras preguntas

Why is oil called a hydrophobic substance?
Solve this problem in your notebook using all four steps. A board 60 in. long is cut into two parts so that the longer piece is 5 times the shorter. What are th
During my three-week stay in Walla Walla, Washington, it rained for 7 days, it was sunny for 11 days, and it was overcast without rain for 3 days. The next time
Swimming burns more calories per hour than aerobics and cycling.
What did the “black codes" of the early English colonies do?
Is a round character can be a static or dynamic
A tally was made of the number of times each flavor of pudding was chosen by students in a school's cafeteria. Which measure of central tendency should the caf
a piece of limestone erodes due to acid rain. this process can be best described as a slow chemical change. rapid chemical change. slow physical change. rap
what is the angle of rotation the figure. A 30. B 60. C 72. D 120
find the solution of cos^2xsinx-3sinx=0