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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Circles and Circumference

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Exercise 12 Page 719

A radius is a a segment whose endpoints are the center and any point on the circumference on a circle.

Answer: No
Explanation: See solution.

Practice makes perfect

Before determining whether VU is a radius, let's review some important definitions about circles.

Radius: A segment whose endpoints are the center and any point on the circumference on a circle.
Chord: A segment whose endpoints are on the circumference of a circle.

Now, consider the given diagram. We can see that the endpoints of VU are on the circumference of the circle.

Therefore, according to the definitions, VU is not a radius, since a radius is a segment which has one endpoint in the center of the circle. Since both endpoints of VU are on the circumference of the circle, it is a chord.

Subchapter links

Exercises p.719-723