1. Measuring Angles

How many radians are in $200°$?

How many degrees are equivalent to $\frac{7}{10}$ radians?

How many radians is $342°$?

Given a central angle of $90°$, which of the following is its measure in radians?

In Exercises 71–74, find the length of the arc on a circle of radius r intercepted by a central angle θ. Express arc length in terms of 𝜋. Then round your answer to two decimal places. Radius, r: 8 feet Central Angle, θ: θ = 225°

Which of the following is the radian measure of a central angle that subtends an arc equal in length to the radius of the circle?

How many radians are in $27°$?

How many radians is $280°$?

Find the area of a sector of a circle having radius r and central angle θ. Express answers to the nearest tenth. See Example 5.

r = 40.0 mi, θ = 135°

Convert the angle $-\(\frac{5\pi}{6}\)$ from radians to degrees.

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

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. Panama City, Panama, 9° N, and Pittsburgh, Pennsylvania, 40° N

How many degrees are equivalent to $10$ radians?

How many radians is $126°$?