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Exact Area and Circumference of Circles

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Presentation on theme: "Exact Area and Circumference of Circles"β€” Presentation transcript:

1 Exact Area and Circumference of Circles
Section 10.2a

2 Warm Up Find the area and circumference of each circle. Round the nearest hundredth. r = 4in d = 16 in

3 Find the exact area and circumference of each circle.
r = 2in d = 10 in

4 Equation of a Circle: Find the exact area of each circle:
(x+4)2 + (y-2)2 = 169 (x+2)2 + (y – 1)2 = 30 (x-4)2 + (y+2)2 = 24

5 To find the exact area of a sector of a circle:
π‘‘π‘’π‘”π‘Ÿπ‘’π‘’π‘  360 (π΄π‘Ÿπ‘’π‘Ž π‘œπ‘“ πΆπ‘–π‘Ÿπ‘π‘™π‘’)

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8 Find the exact circumference of the circle if:
A = 49 Ο€ ft2 A = 20 Ο€ in2 A = 25 m2 A = 5 m2

9 Find the exact area of the circle if:
a. C = 12 Ο€ in b. C = 17 Ο€ in c. C = 24 in d. C = 9 in

10 Find the exact area of each shaded region:

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