Perimeter of Sectors WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Calculating arc lengths. Rounding to significant figures and decimal places. Basic algebraic substitution and rearranging formulas.
Learning Objective: Calculate arc lengths of sectors of circles
Perimeter of Sectors WORKSHEET DESCRIPTION
Deepen understanding of perimeter in circle geometry with this Perimeter of Sectors worksheet. Learners calculate perimeters for a variety of sectors, moving from straightforward radius-and-angle substitutions to more complex problems involving reasoning and bounds. The activity begins with visual prompts where students trace and label perimeters before progressing to numerical calculations, switching between decimal and exact π forms.
Later problems introduce error spotting, comparison reasoning, and reverse problems where students will use perimeter to find the angle of the sector or the radius.
By the end, students confidently apply the formula for perimeter across different contexts—building fluency, precision with significant figures and exact values, and confidence in communicating mathematical reasoning.
Later problems introduce error spotting, comparison reasoning, and reverse problems where students will use perimeter to find the angle of the sector or the radius.
By the end, students confidently apply the formula for perimeter across different contexts—building fluency, precision with significant figures and exact values, and confidence in communicating mathematical reasoning.
All worksheets are created by the team of experienced teachers at Cazoom Maths.
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Frequently Asked Questions
Calculate arc lengths of sectors of circles