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What is the area of a circle? Let’s see! (Also available at www.mrmartinweb.com under Teaching Resources)

What is the area of a circle? Let’s see! (Also available at under Teaching Resources)

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Page 1: What is the area of a circle? Let’s see! (Also available at under Teaching Resources)

What is the area of a circle?

Let’s see!(Also available at www.mrmartinweb.com

under Teaching Resources)

http://www.mrmartinweb.com/

Page 2: What is the area of a circle? Let’s see! (Also available at under Teaching Resources)

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.

Page 3: What is the area of a circle? Let’s see! (Also available at under Teaching Resources)

Now we will find the formula.

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

Page 4: What is the area of a circle? Let’s see! (Also available at under Teaching Resources)

Color each half a different color

Page 5: What is the area of a circle? Let’s see! (Also available at under Teaching Resources)

Cut out circle. Cut out segments.

Page 6: What is the area of a circle? Let’s see! (Also available at under Teaching Resources)

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

Page 7: What is the area of a circle? Let’s see! (Also available at under Teaching Resources)

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?

Page 8: What is the area of a circle? Let’s see! (Also available at under Teaching Resources)

Shape is a parallelogram.

Page 9: What is the area of a circle? Let’s see! (Also available at under Teaching Resources)

Area of parallelogram is base x height

Base

Height

•What is the Base? •What is the Height?

Page 10: What is the area of a circle? Let’s see! (Also available at under Teaching Resources)

The Formula for the Area of a Circle!

• Area parallelogram = Base x Height• Base is one half of the circumference

Circumference = π x Diameter = π2rHalf of the circumference = πr

• Height = radius = r• Height x Base = r π r = πr2

Area circle = πr2

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