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Determine the radius of the circle below.

Determine the radius of the circle below.-example-1

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Answer:

r = 22.629

Explanation:

Using the Pythagorean theorem:

(35 + r)² = 53² + r²

1225 + 70r + r² = 2809 + r²

subtract r² from each side of the equation:

1225 + 70r = 2809

subtract 1225 from each side:

70r = 1584

r = 22.629

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