Chapter 8, Problem 1FCCE

Explain the radian measure of an angle.

To determine

The meaning of theradian measure of an angle.

Answer to Problem 1FCCE

Solution:

The radian measure of an angle:

A central angle measured by an arc of length $1$ along the circumference on a circle of radius $1$ is the radian measure of an angle.

Explanation of Solution

Given information:

Instruction to state the radian measure of an angle

Explanation:

To define a radian, consider a circle of radius $1$ and measure angles in terms of distances around the circumference.

The central angle determined by an arc of length $1$ along the circumference is said to have a measure of $1$ radian.