Achord 20 inches long is 4 inches from the center of a circle, as shown below. what is the radius of the circle, to the nearest tenth of an inch

a. 4.0

b. 10.7

c. 10.8

d. 11.0

e. 21.6

  C. 10.8

Step-by-step explanation:

The shortest distance from a line to a point is along a path at right angles to the line. That is, the segment marked 4 is a perpendicular bisector of the segment marked 20. Together with the radius (r), it makes a right triangle with legs 4 and 10. The Pythagorean theorem tells us ...

  r² = 4² + 10²

  r = √(16 +100) ≈ 10.77033

The radius of the circle is about 10.8 inches.

the correct answer to your question is a. 4^4

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