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Published byArron Wilkinson Modified over 9 years ago
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AREA OF CIRCLES AND SECTORS
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Area of a circle The area of a circle is π times the square of the radius, or A= πr 2
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Examples Find the area of a circle with radius 8 inches. A=πr 2 =π*8 2 = π*64 = 201.06 ( approximately) Also, when we have a diameter we need only take half of the diameter since d=1/2r.
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Area of a Sector The ratio of the area A of a sector of a circle to the area of the circle is equal to the ratio of the measure of the intercepted arc to 360 degrees.
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Examples Find the area of the sector such the sector cpd intercepts an arc whose measure is 80 degees. The radius is 4 ft. **Work on your own for 2 minutes***
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Using Areas of Circles and Regions To determine the area of a shaded region inside a circle, you will need to follow this formula: Area of Shaded Region=Area of a circle-Area of non-shaded region.
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Homework: Complete the handout and bring it back before next class for credit.
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