Exact Area and Circumference of Circles

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Presentation transcript:

Exact Area and Circumference of Circles Section 10.2a

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

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

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

To find the exact area of a sector of a circle: 𝑑𝑒𝑔𝑟𝑒𝑒𝑠 360 (𝐴𝑟𝑒𝑎 𝑜𝑓 𝐶𝑖𝑟𝑐𝑙𝑒)

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

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

Find the exact area of each shaded region: