Area of a Sector WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Calculating the area of a circle. Fractions of amounts. Stating what fraction of a shape is shaded. Multiplying fractions. Simplifying fractions.
Area of a Sector WORKSHEET DESCRIPTION
This worksheet on area of a sector is designed to develop students' understanding of how to find the area of a portion of a circle.
In Section A, students are introduced to the concept by first finding the area of a full circle. They then calculate the area of shaded sectors by first determining what fraction of the circle is shaded, which also helps them understand the central angle.
Section B builds on this as students calculate the area of shaded sectors through a fill-in-the-gaps exercise, progressing to independently calculating area from a given radius and central angle.
Section C extends this learning by challenging students to use the area of a sector to find a missing radius or angle, requiring them to work backward from the area.
In Section A, students are introduced to the concept by first finding the area of a full circle. They then calculate the area of shaded sectors by first determining what fraction of the circle is shaded, which also helps them understand the central angle.
Section B builds on this as students calculate the area of shaded sectors through a fill-in-the-gaps exercise, progressing to independently calculating area from a given radius and central angle.
Section C extends this learning by challenging students to use the area of a sector to find a missing radius or angle, requiring them to work backward from the area.
