Question

Convert each angle in radians to degrees. $$\frac{\pi}{9}$$

   Convert each angle in radians to degrees.
$$\frac{\pi}{9}$$

Precalculus

Robert Blitzer 6th Edition

Chapter 4, Problem 22

Instant Answer

Solved by Expert Babita Kumari

08/19/2021

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Step 1: We know that $\pi$ radians is equal to 180 degrees. Show more…

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Convert each angle in radians to degrees. $$\frac{\pi}{9}$$

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Key Concepts

Radian

A radian is a measure of angle defined as the ratio of an arc's length to its radius. It is a natural unit in mathematics and is particularly useful in trigonometry and calculus due to its direct relationship to the properties of circles.

Degree

A degree is a measure of angle where a full circle is divided into 360 equal parts. Degrees are commonly used in everyday contexts and various fields such as navigation and engineering for their intuitive subdivision of a circle.

Conversion Factor

The conversion from radians to degrees is achieved by multiplying the radian measure by 180 divided by ?. This conversion factor is based on the equivalence that a full circle is 2? radians or 360 degrees, allowing for the relationship that 1 radian equals 180/? degrees.

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