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? asked in Science & MathematicsMathematics · 1 month ago

Find the radius of the larger circle.?

In the concentric circles below, the smaller circle has a radius of

16 and the length of tangent 𝐴𝐵̅̅̅̅ is 60. Find the radius of the larger

circle.

Attachment image

2 Answers

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  • 1 month ago

    radius of smaller, r = OC = OD = OE = 16

    radius of larger, R = OA = OB

    16² + 30² = R²

    R = √(16² + 30²) = 34

    Attachment image
  • 1 month ago

    The radius of the larger circle is 24.

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