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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 13 Page 719

What is the relationship between a diameter and a radius?

8.1cm

Practice makes perfect

Before determining the length of RT, 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.
Diameter: A chord that contains the center of the circle.

Now, consider the given diagram. We are given that the length of SU is 116.2 centimeters. Notice that the endpoints of SU are on the circumference of the circle. Notice also that RT is a segment that connects the center and a point on the circumference of the circle.

Therefore, according to the definitions, SU is a diameter and RT is a radius. Recall that the length of a radius is half the length of the diameter. Therefore, the length of RT is 16.22 = 8.1 centimeters.

Subchapter links

Exercises p.719-723