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📈 Optional Mathematics - Class 10
Lesson 8 · Circle

Circle Presentation

Optional MathematicsSubject
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Optional Mathematics, Class 10

The Circle

Three ways to define it · Four forms of its equation · Seven worked examples

By the end of this lesson you can

🧭

Describe a circle by construction, as a conic and as a locus

📍

Write the equation for a centre at (0, 0) or at (h, k)

📏

Use the two ends of a diameter

🔍

Read the centre and radius from the general form

✏️

Handle circles that touch the axes

Three views
What is a circle?
DRAW
Compasses keep the pencil a fixed distance from the needle.
CUT
A plane parallel to the base of a cone cuts a circle.
MOVE
A point that stays a fixed distance from a fixed point traces a circle.

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Presenter notes: Today we take the shape everyone can draw and learn to write it as an equation. By the end, you will be able to look at an equation and say exactly where its circle sits and how big it is.