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Arc Length WORKSHEET
Suitable for Grades: Geometry, IM 1
CCSS: HSG.C.B.5
CCSS Description: Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
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 Math.
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This arc length worksheet is designed for students in Geometry and IM 1 and aligns with Common Core State Standards.