1. Measuring Angles

How many radians is $340°$?

How many radians are in $180°$?

Convert the angle $4.54$ radians to degrees, rounding to the nearest tenth.

Which point on the number line corresponds to the position of $7\pi$ radians?

Distance between Cities Find the distance in kilometers between each pair of cities, assuming they lie on the same north-south line. Assume the radius of Earth is 6400 km. See Example 2.

Halifax, Nova Scotia , 45° N, and Buenos Aires, Argentina, 34° S

If the measure of central angle RST is $\theta$ radians in a circle of radius $r$, what is the area of the shaded sector formed by this angle?

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). ―1800°

Convert each radian measure to degrees. See Examples 2(a) and 2(b). 7π/4

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

If a circle has a radius of $r$ inches and a central angle of $\theta$ radians, what is the length of arc $\mathrm{zv}$ in inches?

If arc AB is one-fourth of the circumference of a circle, what is the radian measure of the central angle subtended by arc AB?

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: 10 inches Arc Length, s: 40 inches

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). 450°

Distance between Cities Find the distance in kilometers between each pair of cities, assuming they lie on the same north-south line. Assume the radius of Earth is 6400 km. See Example 2.

Farmersville, California, 36° N, and Penticton, British Columbia, 49° N