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maksim [4K]
3 years ago
5

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

Mathematics
1 answer:
maksim [4K]3 years ago
8 0

Answer:

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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