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**What is the area of a circle?**

Let’s see! (Also available at under Teaching Resources)

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**A circle with a diameter of 20 cm or a radius of 10cm on centimeter graph paper.**

One way is to count the centimeter squares, estimating where there are partial squares.

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**Now we will find the formula.**

Circle divided into 16 segments. How did I do that?

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**Color each half a different color**

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**Cut out circle. Cut out segments.**

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**Glue segments onto file folder, one color up, the other color down.**

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Time to discover! What shape is the figure? How do we find the area of that shape? What is the height? What is the base? What equation can you make?

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**Shape is a parallelogram.**

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**Area of parallelogram is base x height**

What is the Base? What is the Height?

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**The Formula for the Area of a Circle!**

Area parallelogram = Base x Height Base is one half of the circumference Circumference = π x Diameter = π2r Half of the circumference = πr Height = radius = r Height x Base = r π r = πr2 Area circle = πr2

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