1. Measuring Angles

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 = 30.0 ft, θ = π/2 radians

In Exercises 29–34, convert each angle in degrees to radians. Round to two decimal places. 18°

In Exercises 35–40, convert each angle in radians to degrees. Round to two decimal places.

-5.2 radians

In Exercises 1–6, the measure of an angle is given. Classify the angle as acute, right, obtuse, or straight. 𝜋/2

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). ―π/6

In Exercises 2–4, convert each angle in degrees to radians. Express your answer as a multiple of 𝜋. 315°

Convert each radian measure to degrees. See Examples 2(a) and 2(b). 11π/6

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). 60°

Convert each radian measure to degrees. See Examples 2(a) and 2(b). π/3

In Exercises 2–4, convert each angle in degrees to radians. Express your answer as a multiple of 𝜋. 15°

In Exercises 75–78, find the area of the sector of a circle of radius r formed by a central angle θ. Express area in terms of π. Then round your answer to two decimal places. Radius, r: 10 meters Central Angle, θ: θ = 18°