Textbook Question
In Exercises 1–6, the measure of an angle is given. Classify the angle as acute, right, obtuse, or straight. 𝜋/2
1. Measuring Angles
Radians
Multiple Choice
Convert the angle from degrees to radians.
A
rad
B
rad
C
rad
D
rad
Verified step by step guidance1
Understand the relationship between degrees and radians: 360 degrees is equivalent to 2π radians.
To convert degrees to radians, use the formula: radians = degrees × (π/180).
Substitute the given angle (540°) into the formula: radians = 540 × (π/180).
Simplify the expression: 540/180 reduces to 3, so the expression becomes 3π.
Conclude that the angle 540° is equivalent to 3π radians.
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