Textbook QuestionConvert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). ―1800°119views
Textbook QuestionConvert each radian measure to degrees. See Examples 2(a) and 2(b). ―8π/5139views
Textbook QuestionIn 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°56views
Textbook QuestionIn 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°53views
Textbook QuestionIn 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°34views
Textbook QuestionIn 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: 4 inches Central Angle, θ: θ = 240°40views
Textbook QuestionIn Exercises 91–92, find the measure of the central angle on a circle of radius r that forms a sector with the given area. Radius, r: 10 feet Area of the Sector, A: 25 square feet44views
Textbook QuestionFind the length of the arc on a circle of radius 10 feet intercepted by a 135° central angle. Express arc length in terms of 𝜋. Then round your answer to two decimal places.48views
Textbook QuestionFind the length of the arc on a circle of radius 20 feet intercepted by a 75° central angle. Express arc length in terms of 𝜋. Then round your answer to two decimal places.43views
Textbook QuestionIn 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 inches84views
Textbook QuestionIn 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 yards103views
Textbook QuestionIn 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 centimeters34views
Textbook QuestionIn Exercises 13–20, convert each angle in degrees to radians. Express your answer as a multiple of 𝜋. 18°63views
Textbook QuestionIn Exercises 13–20, convert each angle in degrees to radians. Express your answer as a multiple of 𝜋. 150°34views
Textbook QuestionIn Exercises 13–20, convert each angle in degrees to radians. Express your answer as a multiple of 𝜋. 330°37views
Textbook QuestionIn Exercises 13–20, convert each angle in degrees to radians. Express your answer as a multiple of 𝜋. -270°51views
Textbook QuestionIn Exercises 29–34, convert each angle in degrees to radians. Round to two decimal places. 18°44views
Textbook QuestionIn Exercises 29–34, convert each angle in degrees to radians. Round to two decimal places. -50°40views
Textbook QuestionIn Exercises 35–40, convert each angle in radians to degrees. Round to two decimal places. 2 radians63views
Textbook QuestionIn Exercises 35–40, convert each angle in radians to degrees. Round to two decimal places. 𝜋/13 radians39views
Textbook QuestionIn Exercises 35–40, convert each angle in radians to degrees. Round to two decimal places. -4.8 radians47views
Textbook QuestionIn Exercises 35–40, convert each angle in radians to degrees. Round to two decimal places. -5.2 radians48views
Textbook QuestionIn Exercises 2–4, convert each angle in degrees to radians. Express your answer as a multiple of 𝜋. 15°40views
Textbook QuestionIn Exercises 2–4, convert each angle in degrees to radians. Express your answer as a multiple of 𝜋. 315°40views
Textbook QuestionCONCEPT PREVIEW Find the exact length of each arc intercepted by the given central angle. 43views
Textbook QuestionCONCEPT PREVIEW Find the exact length of each arc intercepted by the given central angle. 112views
Textbook QuestionFind 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 radians41views
Textbook QuestionFind the length to three significant digits of each arc intercepted by a central angle in a circle of radius r. See Example 1. r = 1.38 ft , θ = 5π/6 radians46views
Textbook QuestionFind the length to three significant digits of each arc intercepted by a central angle in a circle of radius r. See Example 1. r = 4.82 m , θ = 60°43views
Textbook QuestionFind 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°40views
Textbook QuestionConcept Check If the radius of a circle is doubled, how is the length of the arc intercepted by a fixed central angle changed?41views
Textbook QuestionDistance 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° N49views
Textbook QuestionDistance 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° N36views
Textbook QuestionDistance 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. New York City, New York, 41° N, and Lima, Peru, 12° S44views
Textbook QuestionDistance 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° S43views
Textbook QuestionDistance Traveled by a Minute Hand Suppose the tip of the minute hand of a clock is 3 in. from the center of the clock. For each duration, determine the distance traveled by the tip of the minute hand. Leave answers as multiples of π . 30 min42views
Textbook QuestionDistance Traveled by a Minute Hand Suppose the tip of the minute hand of a clock is 3 in. from the center of the clock. For each duration, determine the distance traveled by the tip of the minute hand. Leave answers as multiples of π . 4.5 hr49views
Textbook QuestionFind 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 = 29.2 m, θ = 5π/6 radians58views
Textbook QuestionFind 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 radians45views
Textbook QuestionFind 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 = 12.7 cm, θ = 81°49views
Textbook QuestionFind 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°96views
Textbook QuestionWork each problem. See Example 5. Angle Measure Find the measure (in radians) of a central angle of a sector of area 16 in² a circle of radius 3.0 in.42views
Textbook QuestionWork 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.48views
Textbook QuestionWork each problem. See Example 5. Arc Length A circular sector has an area of 50 in² . The radius of the circle is 5 in. What is the arc length of the sector?48views
Textbook QuestionConvert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). 60°48views
Textbook QuestionConvert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). 30°43views
Textbook QuestionConvert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). 90°41views
Textbook QuestionConvert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). 150°42views
Textbook QuestionConvert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). ―300°43views
Textbook QuestionConvert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). ―315°21views
Textbook QuestionConvert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). 450°74views
Textbook QuestionConvert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). 1800°20views
Textbook QuestionConvert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). 3600°60views
Textbook QuestionConvert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). ―900°39views
Textbook QuestionConvert each radian measure to degrees. See Examples 2(a) and 2(b). 11π/1583views