Arc Length of the Sector Worksheets
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.
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!
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.
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.
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.
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.
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.