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Notes 75: (11 .) Area of circles and Sectors. THEOREM 11.9: AREA OF A CIRCLE. The area of a circle is times the square of the radius. A = r 2. THEOREM 11.10 AREA OF A SECTOR.
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THEOREM 11.9: AREA OF A CIRCLE • The area ofa circle is times the square of the radius. A= r2
THEOREM 11.10 AREA OF A SECTOR • The ratio of the area of a sector of a circle to the area of the whole circle (r2) is equalto the ratio of the measure of the intercepted arc to 360°. Area of sector APB =
Example 1 Find the exact area of the circle. Round to the nearest hundredth.
Example 2 • Find the radius of the circle, if the area is 390 square meters.
Example 3 Find the indicated measure. a) Find the area of the circle