The Formulae for Area of Sectors and Arc Lengths WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: formulae for area and circumference of a circle.

The Formulae for Area of Sectors and Arc Lengths WORKSHEET DESCRIPTION

Let your learners discover the general formulae for area of a sector and arc length with this worksheet.

Here students are asked to fill in the blanks to find the area of various sectors, from a quarter to an angle of 60°, any sized angle and finally, a general formula with any sized angle and radius length.

This process is repeated for arc length, again starting with a quarter circle and ending with a general formula.

Practice using these formulae next with the worksheet “Area of Sectors and Arc Lengths”.

Frequently Asked Questions

This area and circumference of circles, sectors, and segments worksheet is designed for students in Year 10 and Year 11 and aligns with the UK National Curriculum.