Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
7. Law of Sines and Law of Cosines
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Exercise 56 Page 516

The radius of a circle is the distance from the center to any point on the circumference. The diameter is the distance from one side of the circle's circumference, through the center of the circle, to the opposite side.

Radius: 50 inches
Diameter: 100 inches

Practice makes perfect
We want to find the radius and the diameter of the circle in the given diagram.

Let's recall the definitions of radius and diameter.

  • Radius: Distance from the center of the circle to any point on the circumference.
  • Diameter: Distance from one side of the circle's circumference, through the center of the circle, to the opposite side.

We can see in the diagram that the radius is 50inches. According to the definitions, the diameter is twice the radius. Therefore, the diameter is 50* 2=100inches.