Question

What part of the circumference is an arc whose measure is 30?
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Answer 1

The arc of measure 30° is $\frac{1}{12}$ of the circumference ⇒ 1st answer

Step-by-step explanation:

Let us revise some notes about the circle

• The length of the circle is 2πr
• The measure of the circle is 360°
• The measure of the arc is a part from the measure of the circle
• The ratio between the measure of an arc to the measure of the circle is equal to the ratio of the length of that arc to the circumference of the circle

∵ The measure of an arc of a circle is 30°

∵ The measure of the circle is 360°

∴ The arc represents a part = $\frac{30}{360}$ of the circle

∵ $\frac{30}{360}=\frac{1}{12}$

∴ The arc represents a part = $\frac{1}{12}$ of the circle

∵ The ratio between the measure of an arc to the measure of the

   circle is equal to the ratio of the length of that arc to the

   circumference of the circle

∴ The arc represents a part = $\frac{1}{12}$ of the circumference of the circle

The arc of measure 30° is $\frac{1}{12}$ of the circumference

Learn more:

You can learn more about the circles in brainly.com/question/12905000

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