. If the measure of 𝜃=3𝜋4 radians , then what is the measure of 𝜃 in degrees?
Question
. If the measure of 𝜃=3𝜋4 radians , then what is the measure of 𝜃 in degrees?
Solution
To convert radians to degrees, you can use the conversion factor 180/π.
Step 1: Identify the given radian measure. In this case, 𝜃 = 3𝜋/4 radians.
Step 2: Multiply the given radian measure by the conversion factor 180/π.
So, 𝜃 = 3𝜋/4 * 180/π.
Step 3: Simplify the equation. The π in the numerator and denominator will cancel out.
So, 𝜃 = 3/4 * 180.
Step 4: Multiply 3/4 by 180 to get the measure of 𝜃 in degrees.
So, 𝜃 = 135 degrees.
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