In Exercises 57–70, find a positive angle less than or that is coterminal with the given angle. 25𝜋 6

In Exercises 41–56, use the circle shown in the rectangular coordinate system to draw each angle in standard position. State the quadrant in which the angle lies. When an angle's measure is given in radians, work the exercise without converting to degrees.

-210°

In Exercises 57–70, find a positive angle less than or that is coterminal with the given angle. 17𝜋 /5

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: 12 inches Central Angle, θ: θ = 45°

In Exercises 57–70, find a positive angle less than or that is coterminal with the given angle. -𝜋/40

In Exercises 57–70, find a positive angle less than or that is coterminal with the given angle. -760°

In Exercises 57–70, find a positive angle less than or that is coterminal with the given angle. 395°

In Exercises 41–56, use the circle shown in the rectangular coordinate system to draw each angle in standard position. State the quadrant in which the angle lies. When an angle's measure is given in radians, work the exercise without converting to degrees.

420°

In Exercises 57–70, find a positive angle less than or that is coterminal with the given angle. - 38𝜋/9

In Exercises 57–70, find a positive angle less than or that is coterminal with the given angle. -150°

In Exercises 41–56, use the circle shown in the rectangular coordinate system to draw each angle in standard position. State the quadrant in which the angle lies. When an angle's measure is given in radians, work the exercise without converting to degrees.

120°

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°

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°

In Exercises 41–56, use the circle shown in the rectangular coordinate system to draw each angle in standard position. State the quadrant in which the angle lies. When an angle's measure is given in radians, work the exercise without converting to degrees.

14𝜋/3

In Exercises 1–6, the measure of an angle is given. Classify the angle as acute, right, obtuse, or straight. 135°

In Exercises 1–6, the measure of an angle is given. Classify the angle as acute, right, obtuse, or straight. 87.177°

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

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

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

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: 6 yards Arc Length, s: 8 yards

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

In Exercises 21–28, convert each angle in radians to degrees. -3𝜋

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

In Exercises 29–34, convert each angle in degrees to radians. Round to two decimal places. -50°

In Exercises 35–40, convert each angle in radians to degrees. Round to two decimal places. 2 radians

In Exercises 35–40, convert each angle in radians to degrees. Round to two decimal places. 𝜋/13 radians

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

-4.8 radians

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

-5.2 radians

In Exercises 41–56, use the circle shown in the rectangular coordinate system to draw each angle in standard position. State the quadrant in which the angle lies. When an angle's measure is given in radians, work the exercise without converting to degrees.

7𝜋/6

In Exercises 41–56, use the circle shown in the rectangular coordinate system to draw each angle in standard position. State the quadrant in which the angle lies. When an angle's measure is given in radians, work the exercise without converting to degrees.

3𝜋/4