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1-5 Formulas of Circles. Circumference: C = π d C = 2 π r Area: A = π r 2. Example. Find the circumference and area. d = 12 in. C = 2 π r C = 2 π (6) C = 12 π = 37.7 A = π r 2 A = π (6) 2 A = 36 π = 113.1. Example. The circumference of a circle is 24 π , what is the area?
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1-5 Formulas of Circles • Circumference: C = πd C = 2πr • Area: A = πr2
Example • Find the circumference and area. d = 12 in C = 2πr C = 2π(6) C = 12π = 37.7 A = πr2 A = π(6)2 A = 36π = 113.1
Example • The circumference of a circle is 24π, what is the area? • The area of a circle is 28.27, what is the diameter? C = 2πr 24π = 2πr A = πr2 24= 2r A = π(12)2 12 = r A = 144π = 452.4 A = πr2 28.27= πr2 9 = r2 3 = r d = 6
Example Find the area of the shaded region. SquareCircle A = lwA = πr2 A = 6 x 6 A = π(3)2 A = 36 A = 9π= 28.27 Shaded Region A = Square – Circle A = 36 – 28.27 A = 7.73 3