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AREA OF CIRCLES AND SECTORS. 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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Presentation on theme: "AREA OF CIRCLES AND SECTORS. Area of a circle The area of a circle is π times the square of the radius, or A= πr 2."— Presentation transcript:

1 AREA OF CIRCLES AND SECTORS

2 Area of a circle The area of a circle is π times the square of the radius, or A= πr 2

3 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.

4 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.

5 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***

6 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.

7 Homework: Complete the handout and bring it back before next class for credit.


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