Arc Length and Radian Measure
Aligned To Common Core Standard:
High School Geometry - HSG-C.B.5
How to Calculate the Length of an Arc - An arc is typically defined as the small segment present at the circumference of a circle. Or any fraction of circle's circumference lying between two points. Arc span is defined as the span along the arc. An arc measure is the angle made arc at the center of a circle. The angle is measured in radians or degrees. You can easily figure out the arc of the circle by taking less than full length around the circle within two radii. We use the following formula for calculating the length of an arc: arc measure= (arc length)/radius = s/r Let's understand it better with an example. If our arc length is 3cm and our radius is 4 cm. Write down the formula first: arc measure =s/r | arc measure = 3/4| This is written in radians; we can have it degrees by multiplying it with 180/ π = (3/4) (180/π) = 42.971 = 43 degrees. These worksheets and lessons teach students how to determine the length of the arc of a circle and the measure in radians.
Printable Worksheets And Lessons
- Angles to Radians Step-by-Step Lesson- A simple conversion and I provide all the background that you need.
- Guided Lesson - Time for Pi! Not the tasty dessert .
- Guided Lesson Explanation - These were actually very fun to work through. I missed Trig, if that doesn't sound weird.
- Practice Worksheet - Straight working with conversion between systems.
- Matching Worksheet - Match the conversion between radians and degrees.
A number of different conversion strategies are set for you over the course of this series.
Many teachers write in and let us know that these were very helpful for them.