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Geometry: Circles

Grade 10 · Math · Free lesson

Welcome to the wonderful world of circles! Today, we are going to explore the basic anatomy of a circle and see how its parts relate to each other.

A circle is a perfectly round shape where every point on the outside edge is the exact same distance from the center point. This equal distance is what makes a circle so beautifully symmetrical!

pi

The distance from the exact center of the circle to any point on its outer edge is called the radius. Think of it like a single spoke on a bicycle wheel stretching from the middle to the tire.

Radius (r)

If you connect two opposite points on a circle with a straight line that goes directly through the center, you get the diameter. The diameter is exactly twice as long as the radius!

Diameter (d = 2r)
✏️ Worked example

A circular coin has a radius of 12 millimeters. What is the diameter of this coin?

  1. Identify the given information: The radius (r) of the coin is 12 mm.
  2. Recall the formula that connects radius and diameter: Diameter (d) = 2 × radius (r).
  3. Substitute the given radius value into the formula: d = 2 × 12.
  4. Calculate the final value: 2 × 12 = 24.
  5. State the final answer with units: The diameter of the coin is 24 millimeters.
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