1. Measuring Angles

In Exercises 5–7, convert each angle in radians to degrees.- 5𝜋6

Convert 135° to an exact radian measure.

CONCEPT PREVIEW Find the exact length of each arc intercepted by the given central angle.

CONCEPT PREVIEW Find the exact length of each arc intercepted by the given central angle.

CONCEPT PREVIEW Find the radius of each circle.

CONCEPT PREVIEW Find the radius of each circle.

CONCEPT PREVIEW Find the measure of each central angle (in radians).

CONCEPT PREVIEW Find the measure of each central angle (in radians).

CONCEPT PREVIEW Find the area of each sector.

CONCEPT PREVIEW Find the area of each sector.

Find the length to three significant digits of each arc intercepted by a central angle in a circle of radius r. See Example 1. r = 12.3 cm , θ = 2π/3 radians

Find the length to three significant digits of each arc intercepted by a central angle in a circle of radius r. See Example 1. r = 1.38 ft , θ = 5π/6 radians

Find the length to three significant digits of each arc intercepted by a central angle in a circle of radius r. See Example 1. r = 4.82 m , θ = 60°

Find the length to three significant digits of each arc intercepted by a central angle in a circle of radius r. See Example 1. r = 15.1 in. , θ = 210°

Concept Check If the radius of a circle is doubled, how is the length of the arc intercepted by a fixed central angle changed?