Arc Length WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Calculating the circumference of a circle. Finding the perimeter of polygons. Fractions of amounts. Stating what fraction of a shape is shaded. Multiplying fractions. Simplifying fractions.
Learning Objective: Calculate arc lengths.
Arc Length WORKSHEET DESCRIPTION
Develop students' understanding of how to find the length of a portion of a circle's circumference with this worksheet.
In Section A, students will be introduced to the concept of arc length by finding the circumference of a circle. They will then calculate the highlighted arc length by determining what fraction of the circle is shaded.
Section B builds on this as students will calculate the length of a highlighted arc through a fill-in-the-gaps exercise, progressing to independently calculating arc length from a given radius and central angle.
Section C extends this learning by challenging students to find the perimeter of a sector, combining their knowledge of arc length with the lengths of the radii. It concludes with a table completion task that requires students to apply all their skills to work forwards and backwards; for example, using the arc length or perimeter to calculate the radius.
In Section A, students will be introduced to the concept of arc length by finding the circumference of a circle. They will then calculate the highlighted arc length by determining what fraction of the circle is shaded.
Section B builds on this as students will calculate the length of a highlighted arc through a fill-in-the-gaps exercise, progressing to independently calculating arc length from a given radius and central angle.
Section C extends this learning by challenging students to find the perimeter of a sector, combining their knowledge of arc length with the lengths of the radii. It concludes with a table completion task that requires students to apply all their skills to work forwards and backwards; for example, using the arc length or perimeter to calculate the radius.
All worksheets are created by the team of experienced teachers at Cazoom Maths.
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Frequently Asked Questions
Students should be comfortable with calculating the circumference of a circle, as this forms the foundation for understanding arc length calculations. They'll also need to work confidently with fractions - particularly finding fractions of amounts, multiplying fractions, and simplifying them - since arc length involves determining what fraction of the total circumference is represented by the arc.