High School

We appreciate your visit to How would you find the fraction of a circle that an arc covers A Divide the measure of the arc by 180 B Divide the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

How would you find the fraction of a circle that an arc covers?

A. Divide the measure of the arc by 180.
B. Divide the circumference by 360.
C. Divide the measure of the arc by 360.
D. Divide the diameter by 360.

Answer :

Final answer:

To find the fraction of a circle an arc covers, divide the measure of the arc by 360 degrees. This represents the fraction of the full circle's circumference that the arc encompasses.

Explanation:

To find the fraction of a circle that an arc covers, you should divide the measure of the arc by the total number of degrees in a circle. The correct method is to (option 3) divide the measure of the arc by 360, since there are 360 degrees in a full circle. This gives you the fraction of the circle that the arc represents.

For example, if an arc measures 90 degrees, then the fraction of the circle covered by the arc is 90/360, which simplifies to 1/4 of the circle. In other words, the arc spans a quarter of the circle's circumference.

If we were dealing with radians instead, we would divide the arc length by the circumference of the circle (which is 2πr) to find the angle of rotation in radians. This is because the circumference of a circle is directly related to the radius and pi (π), where r is the radius.

Thanks for taking the time to read How would you find the fraction of a circle that an arc covers A Divide the measure of the arc by 180 B Divide the. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada