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The diameter of circle A is three times as long as the diameter of circle B. If circle B has a diameter of 12 cm, what is the radius of the circle A?
1. Calculate the radius of circle B:
Radius of circle B = diameter of circle B / 2
Radius of circle B = 12 cm / 2
Radius of circle B = 6 cm
2. Calculate the diameter of circle A:
Diameter of circle A = 3 x Diameter of circle B
Diameter of circle A = 3 x 12 cm
Diameter of circle A = 36 cm
3. Calculate the radius of circle A:
Radius of circle A = Diameter of circle A / 2
Radius of circle A = 36 cm / 2
Radius of circle A = 18 cm
Therefore, the radius of circle A is 18 cm.