Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation

Step-by-step explanation:

The circumference of a circle with radius is given by . The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle is equal to .

Formulas at a glance:

Question 1:

The radius of the circle is 12 m. Therefore, the circumference is:

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

Question 2:

In the circle shown, the radius is marked as 2 miles. Substituting into our circumference formula, we get:

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

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step-by-step explanation: