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1 The Circumference of a Circle Teaching Mathematics Visually and Actively Tandi Clausen-May

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2 Click the mouse only when you see a Otherwise you will miss the animations! Click the mouse now!

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3 The circumference of a circle

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4 First we need (pi) Is it… …...? What is ? Is it a number?

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5 Well… not exactly. is a ratio.

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6 Pi is the number of times you must travel straight across the circle to go the same distance as all the way round the circle. once across twice across So is a bit more than 3. Click to see the paths three times across and a bit further!

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7 For a regular hexagon, the distance all the way round is exactly 3 times the distance straight across the middle. How can we be sure that is a bit more than 3? 12 3 Click to see the paths

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8 So all the way round the circle is a little bit more than 3 times straight across the middle. And all the way round the circle is a little bit more than all the way round the hexagon. Circumference = × Diameter Click to see the paths

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Summary Circumference = times the diameter …and a little bit more Circumference = × Diameter

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10 Find it at Tandi Clausen-May Now watch PP 10-2: The Area of a Circle from the CD inside Teaching Mathematics Visually and Actively

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