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**Circumference & Area of a Circle**

MA.6.4.1: Estimate the circumference and area of a circle Period 4

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Definition Circumference is the distance around a circle or the perimeter. Formula = Pi x diameter Area is the measure of the amount of surface enclosed by the boundary of a figure. Formula = r x r x pi

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**Example: Circumference**

Formula = Diameter x Pi Diameter = 2 in. Pi = x 3.14 = 6.28 in. 2 in.

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Example: Area Formula = radius x radius x Pi Radius = 5 cm. Pi = x 5 x 3.14 = 78.5 sq. cm. 5 cm.

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Problem Kristle wanted to find the area and the circumference of a circle with a diameter of 26 in. Find the area and circumference of her circle. 26 in.

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Solution The area of Kristle’s circle is in. because if the diameter is 26 in. then the radius must be 13 in. (26/2=13) x 13 = x 3.14 = sq. in. The circumference of Kristle’s circle is in. because 26 x 3.14 = 81.64

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**Credits I give credit to my parents for giving me support……**

I also give credit to my math teacher, Mr. Imamura for teaching me what the circumference and area is and the formula for each…… I also give credit to my friends (Kristle mostly) for helping me use Microsoft PowerPoint: Definition from Connected Mathematics. Hope you enjoyed my fantabulous presentation on the circumference and the area of a circle.

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Diameter Any line segment that passes through the center of the circle and has endpoints on the circle.

Diameter Any line segment that passes through the center of the circle and has endpoints on the circle.

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