[Math] radius of circle inscribed in rectangle

circlesgeometryrectanglestrigonometry

I have two circles inside a rectangle(4 * 6), where the diameter of one of both is the total length of a side of the rectangle, and the other circle diameter is part of the length of the another side.

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trigonometry problem

  • What is the name of the theory behind this problem?
  • How to find the radius R?

Best Answer

Hint: note the right triangle below. What does this tell you about $R$?

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