1. Measuring Angles

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). 150°

Work each problem. See Example 5. Irrigation Area A center-pivot irrigation system provides water to a sector-shaped field as shown in the figure. Find the area of the field if θ = 40.0° and r = 152 yd.

Convert the angle $2.52.5$ radians to degrees, rounding to the nearest tenth.

How many degrees is $\frac{2\pi }{9}$ radians?

How many degrees is $-\frac{\pi }{8}$ radians?

In Exercises 7–12, find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. Radius, r: 1 meter Arc Length, s: 600 centimeters

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°

Which of the following radian measures is equal to $180°$?

How many degrees is $-\frac{\pi }{8}$ radians?

An angle measures $2.44$ radians. What is the degree measure of the angle?

Which expression converts $45°$ to radians?

In Exercises 5–7, convert each angle in radians to degrees. - 5𝜋 6

Convert the angle $540°$ from degrees to radians.

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