Arc Length of the Sector Worksheets

  1. Worksheets >
  2. Math >
  3. Geometry >
  4. Circles >
  5. Arc Length of the Sector

Make your practice go with a swing using our free worksheets on finding the arc length of the sector. A brilliant bevy of printables, these exercises feature finding the arc length using the radius and central angle, calculating the length of the arc using the area of the sector, and finding the missing parameters. Our pdf worksheets on finding the arc length of the sector are available in customary and metric units.

These prepping resources are suitable for grade 8 and high school students.

CCSS: HSG.C

Select the Measurement Units

Finding the Arc Length of the Sector | Worksheet #1

To calculate the arc length of the sector, students must divide the central angle (the angle that the arc subtends) by 360° and multiply that fraction by 2πr (circumference of the circle). With practice, they'll soon have this skill added to their repertoire!

Finding the Arc Length of the Sector | Worksheet #1

Finding the Arc Length of the Sector | Worksheet #2

What will be the arc length if the angle subtended by it is 25°? Since 25/360 = 5/72, children must multiply it by the circumference and round their answer up to two decimal places. They can take advantage of the answer key whenever required.

Finding the Arc Length of the Sector | Worksheet #2

Finding Arc Length from Sector's Area | Worksheet #1

Remind 8th grade and high school learners that the area of a sector is (θ/360) times πr² and that they must plug in the given values to find θ (central angle) or r (radius) first and then use the obtained value to determine the arc length.

Finding Arc Length from Sector's Area | Worksheet #1

Finding Arc Length from Sector's Area | Worksheet #2

This free printable is super-useful if your learners' skills at calculating the length of the arc of a circle from the area of a sector aren't great yet! The key is to determine the missing radius or theta using the given measures in each figure by following the steps.

Finding Arc Length from Sector's Area | Worksheet #2

Missing Parameters | Worksheet #1

If the child's doing well and is keen to gain mastery in the topic, they'll find this part of our finding the arc length of the sector worksheets a dazzler! Watch them identify the radius, central angle, and length of the arc using only the two given measures.

Missing Parameters | Worksheet #1

Missing Parameters | Worksheet #2

Scads of perseverance is recommended for high school learners to solve this pdf worksheet. Let them practice and perfect working out the value of r and θ to the nearest whole number and the arc length of each circle up to two decimal places.

Missing Parameters | Worksheet #2