Concept explainers
a.
To fill: The blank in the statement “The measure of the central angle subtended by an arc equal in length to the radius of the circle is called a/an _______________”.
a.
Answer to Problem 1CRQ
The measure of the central angle subtended by an arc equal in length to the radius of the circle is called a
Explanation of Solution
A radian is the measure of the central angle which is subtended by an arc whose length is equal to the radius of the circle.
If s is the length of the arc subtended by a central angle
Therefore, the measure of the central angle subtended by an arc equal in length to the radius of the circle is called a
b.
To fill: The blank in the statement “The angle subtended by one complete revolution is _____ radians or _____ degrees”.
b.
Answer to Problem 1CRQ
The angle subtended by one complete revolution is
Explanation of Solution
An initial ray in standard position through one complete revolution, obtain an angle of 360 degrees or
That is, an angle whose measure is 360 degrees or
Therefore, the angle subtended by one complete revolution is
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Chapter 12 Solutions
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