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What is the length of the radius of the circle?

What is the length of the radius of the circle?-example-1

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Answer:

radius ≈ 19.2

Explanation:

CV is the perpendicular bisector of the chord ST , so SV = 15

CS is the radius of the circle

using Pythagoras' identity in right triangle CVS

CS² = CV² + SV² = 12² + 15² = 144 + 225 = 369 ( square root both sides )

CS =
√(369) ≈ 19.2 ( to 1 decimal place )

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