Area and Circumference of a Circle — Interactive Lesson & Worksheet (Ages 14–16)

Given the diameter, can your students still find the area? This 39-slide interactive lesson teaches the area and circumference of a circle, with a printable worksheet included.

Mastering the Area and Circumference of a Circle at GCSE

Students learn to calculate the area and circumference of a circle from a given radius or diameter, find the radius or diameter from the area, and find the area from the circumference, using π = 3.14. They start by naming the radius, diameter and sector on a diagram, then use Area = πr² and Circumference = πd, halving the diameter to find the radius when needed. A worked pizza example finds the area of a pizza with radius 8 cm.

What’s Included

• 39-slide interactive lesson on the area and circumference of a circle
• Learning objectives on area, circumference and working backwards from area or circumference
• Naming the radius, diameter and sector on a diagram
• Worked examples using π = 3.14, including a pizza problem
• A printable worksheet with practice questions

Key Benefits for Students

• Builds fluency with both area and circumference formulae
• Shows how to work from a diameter as well as a radius
• Practises working backwards from area to radius
• Instant feedback on answer questions

Why Teachers Love It

• No prep — ready for whole-class teaching on an interactive whiteboard
• The worksheet gives extra printable practice
• Self-marking questions support independent practice
• Suits teaching, revision and homework
• A long, structured lesson that can be split across sessions

Love this? You’ll love…

• Arc Length and Sector Area — Interactive Lesson & Worksheet (Ages 14–16)
• Pythagoras Theorem — Interactive Lesson (Ages 14–16)
• Volume and Surface Area of Cubes and Cuboids — Interactive Lesson (Ages 14–16)

A dependable addition to a GCSE geometry topic, giving students fluent use of both circle formulae in one lesson. Confidence here supports arc length, sector area and 3D shapes involving circles.

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FAQs

What year group is this for?
Years 10–11 (ages 14–16), GCSE.

Is a worksheet included?
Yes — a printable worksheet of practice questions.

Is it self-marking?
Yes, with instant feedback on the questions.