Question

If the circumference of a circle is 36, what is the length of an arc of the circle intercepted by a central angle of 30 degrees?

Answer 1

Answer:330 degrees

Step-by-step explanation: It helps by drawing a picture, hope this helps

Answer 2

Answer:
`arc\ length=3`

Explanation:

The formula for calculate the arc lenght is:

`arc\ length=2\pi r((\theta)/(360))`

Where "r" is the radius and "
`\theta`" is the central angle of the arc in degrees.

The formula used to find the circumference of a circle is:

`C=2\pi r`

Where "r" is the radius.

Then, we can observe that the formula for calculate the arc lenght can be rewritten in this form:

`arc\ length=C((\theta)/(360))`

Where "C" is the circumference of the circle.

Finally we need to substitute the central angle and the circumference into
`arc\ length=C((\theta)/(360))`. Then the result is this:

`arc\ length=36((30\°)/(360))=3`