Question

Convert the radian measure $7 \pi / 4$ to degrees.

   Convert the radian measure $7 \pi / 4$ to degrees.

Precalculus Functions and Graphs

Precalculus Functions and Graphs

Mark Dugopolski 4th Edition

Chapter 5, Problem 112

Instant Answer

Solved by Expert Linh Vu

04/02/2020

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Step 1: First, we need to understand that $\pi$ radians is equivalent to 180 degrees. Show more…

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Convert the radian measure $7 \pi / 4$ to degrees.

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Key Concepts

Radian Measure

A radian is an angle measurement defined by the arc length being equal to the radius of a circle. It is a natural unit in mathematics and physics, where one complete rotation corresponds to 2? radians.

Degree Measure

A degree is an angular measurement used in many everyday applications, where one full rotation is divided into 360 equal parts. Degrees are often more intuitive for practical measurements of angles.

Conversion between Radians and Degrees

Converting between radians and degrees involves a proportional relationship, since ? radians equal 180 degrees. The conversion is done by multiplying the radian value by 180/? to obtain the equivalent degree measure.

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