1. Measuring Angles

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

Distance 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 min

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). ―8π/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 inchesCentral Angle, θ: θ = 45°

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 feetCentral Angle, θ: θ = 225°

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 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 inchesCentral Angle, θ: θ = 240°

In 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 feetArea of the Sector, A: 25 square feet

Find 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.

Find 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.

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 yardsArc 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 meterArc Length, s: 600 centimeters