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Math Education Educational Technology EDU 529 Jun 30, 2003 David Bloom

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Pi ( ) = 3.141592654..... radius A = r 2 d = 2 r C = d = 2 r d = 2 r Area Circumference Diameter Pi ( ) Perimeter Pi ( ) and the Circle C / d = Circle Center Radius r = d / 2 diameter

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Prior Knowledge About Rectangles Area = Length (Base) x Width (Height) = 3 x 1 = 3 square units Perimeter = Sum Length of the Outer Sides = 1 + 3 + 1 + 3 = 8 1 3

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Vocabulary Circle –A circle is the set of points equidistant from a given point Circle

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Vocabulary Circumference –The perimeter of a circle is called the circumference r O C Circumference C

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Vocabulary Radius –The distance from the center of the circle to its perimeter is called the radius r O Radius r

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Vocabulary Diameter –The diameter is the distance from one point on a circle to another point on a circle which passes through the center d Diameter d O

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Vocabulary Pi –The number, Pi, denoted , is defined as the ratio of a circle’s circumference C to its diameter d d = C / d C = 3.141592654.....

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Formula Circumference –The circumference of a circle can be calculated using the formula d C = d C

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Formula Area of a Circle –The area of a circle can be calculated using the formula r O Area = r 2

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Area of Circle – Step by Step

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Application Circumference We use with formulas to find the circumference of circles. For example, if you are given the diameter of a circle, you can find the circumference by using this formula: Another formula for finding the circumference of a circle is:

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Pie ‘r not round, Pie ‘r square ( r 2 )

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Acknowledgements Music by Don McLean, American Pie, 1972

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