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11 April, 00:51

two circles are externally tangent to each other. One circle has a diameter of 62 yards and the distance between the centers of the two circles is 85 yards. What is the diameter of the other crop circle

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  1. 11 April, 03:30
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    108 yards

    Step-by-step explanation:

    Let circle A be the circle with the 62 yard diameter

    Let circle B be the circle whose diameter we are trying to solve for.

    Externally tangent circles are circles which touch each other and share a common external tangent. Circle A has a tangent of 62 yards and thus a radius (half the diameter) of 31 yards. The distance between the centers of the 2 circles is 85 yards. If you subtract the radius (distance from the center of the circle to its circumference) of circle A then we'll only be left with the radius of circle B. 85 - 31 = 54 yards which is the radius of circle B To get the diameter: 54 x 2 = 108 yards
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