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# Circles Area Chris & Elias

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### Circles Area Chris & Elias

1. 1. Area of Circles By Elias Posen & Chris Lübker
2. 2. Problem <ul><li>Why does circle area formula work? </li></ul><ul><li>Πr 2 = L×W? </li></ul>
3. 3. Process <ul><li>We cut up a circle into 24 pieces and placed them next to each other to create a rectangle. </li></ul><ul><li>We then discovered the length (L) and the width (W). </li></ul><ul><li>The Length would be equal to C÷2 and the width would be equal to the radius of the circle. </li></ul>
4. 4. Challenges <ul><li>Cutting correctly </li></ul><ul><li>Gluing straight </li></ul><ul><li>Setting out our work </li></ul>
5. 5. Solution <ul><li>A=LxW </li></ul><ul><li>A= (C÷2)x r </li></ul><ul><li>A= (πxD)÷2 x r </li></ul><ul><li>A= (π x 2r) ÷2x r </li></ul><ul><li>A= πr x r </li></ul><ul><li>A = πr 2 </li></ul>