1. A circle has an area of 100pi centimeters squared. what is the diameter?
2. a circle has an area of 16pi centimeters squared. what is the radius?
3. a circle has an area of 256pi centimeters squared. what is the circumference?
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1. A circle has an area of 100pi centimeters squared. what is the diameter?
Acircle = pi * (diameter/2)^2
100pi = pi * (diameter/2)^2 "cancel" pi
100 = (diameter/2)^2 take the positive root of both sides
10 = diameter/2 muliply. both sides by. 2
20 = diameter [in cm ]
2. a circle has an area of 16pi centimeters squared. what is the radius?
Acircle = pi * (radius)^2
16pi = pi * (radius)^2 "cancel" pi
16 = (radius)^2 take the positive root of both sides
4 = radius [in cm ]
3. a circle has an area of 256pi centimeters squared. what is the circumference?
256pi = pi * (radius)^2
256pi = pi * (radius)^2 "cancel" pi
256 = (radius)^2 take the positive root of both sides
16 = radius [in cm ]
Circumference = 2 * pi * radius = 2 * pi * 16cm = 32pi cm