A wheel is rotating at 4 radians per second, and the wheel has a 57-inch diameter. To the nearest foot per minute, what is the speed of a point on the rim?

Q: Find the length of the arc of a circle of diameter 10 meters subtended by a central angle of π5…

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Q: A wheel is rotating at 4 radians per second, and the wheel has a 60 inch diameter. To the nearest…

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Q: In a circle of radius 5 miles, the length of the arc that subtends a central angle of 2 radians is…

A: We can solve the given problem by using arc length method .

Q: An object is traveling around a circle with a radius of 4 feet. If in 10 seconds a central angle of…

A: Given radius of circle is 4 feet and a central angle of 1/3 radian is swept in 10 seconds. Hence…

Q: The two pulleys in the figure have radii of 15 cm and 8 cm, respectively. The larger pulley rotates…

A: Given:  R=15 cm , r=8 cm

Q: What is the relationship between the radian measure of an angle and the length of the arc…

A: a unit circle is a circle of unit radius—that is, a radius of 1. radius = 1 angle measure(in…

Q: On a circle of radius 6 feet, what angle would subtend an arc of length 5 feet? In…

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Q: A 20-ft-tall light post casts a 25-ft shadow along level ground. What is the angle of elevation of…

A: A 20-ft-tall light post casts a 25-ft shadow along level ground.

Q: The radius of a circle is 4 centimeters. What is the length of an arc that subtends an angle of…

A: Length of arc is 28π9 cm

Q: In a circle of radius 8 miles, the length of the arc that subtends a central angle of 1 radians is…

A: It is known that length of an arc substending an angle θ radians is given by l = rθwhere r is the…

Q: If the terminal side of angle 0 passes through a point on the unit circle in the first quadrant…

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Q: If the sine of an angle is .75, what is the measure of the angle to the nearest degree?

A: sinƟ = 0.75Ɵ = sin-1(0.75) = 48.6° = 49°tan-1(0.05) = 2.86° = 3°

Q: In a circle of radius 5 miles, the length of the arc that subtends a central angle of 4 radians is…

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Q: What will be the time be if the clock covered a distance of -4π3 radians? What is the measure of the…

A: Measure of the angle formed.

Q: Find the radian measure of a central angle given the radius and arc length.

A: To determine: The radian measure of a central angle given the radius and arc length.

Q: In a circle of radius 18 inches, the length of the arc subtended by a central angle of 1.1 radians…

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Q: An object is traveling around a circle with a radius of 10 feet. If in 50 seconds a central angle…

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Q: A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

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Q: Find The link of an arc of a circle of diameter 14 m subtended by a central angle of 3pi/4 radians

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Q: If a wheel is currently rotating at 100 revolutions per minute, how many radians per second is this?…

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Q: Find the length of the arc of a circle of radius 12 inches subtended by a central angle of 3pi/4…

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Q: Find the length of the arc of a circle of diameter 14 meters subtended by a central angle of π4…

A: The length of diameter of the circle, d=14 meters  Given central angle, θ=π4 radians

Q: At a certain time, a post 12 feet tall casts a 4 ft shadow. What is the angle of elevation of the…

A: Given problem:- At a certain time, a post 12 feet tall casts a 4 ft shadow. What is the angle of…

Q: The angle of elevation from an observer to the top of achurch is 0.3 radian, while the angle of…

A: Firstly Change radian to degree       0.3 radian =17.1887°0.4 radian =22.9183° According to…

Q: "a locomotive wheel with a diameter of 15 meters rolls 13 meters, how many in radian measure does it…

A: Given:  Diameter (2r) = 15   L = 13

Q: The diameter of each wheel of a bike is 27 inches. If you are traveling at a speed of 27 miles per…

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Q: If the radius of a circle is 2, and the arc length between the two rays of an angle whose vertex is…

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Q: Find the length of the arc of a circle of diameter 8 meters subtended by a central angle of π6…

A: The arc length of the circle having radius r and which subtend angle  θ at the center is given by,…

Q: A central angle in a propeller of a helicopter measures 11 radians. If the distance starting from…

A: Formul for this is theta=l/r Where. Theta= 11 radians r= 220cm l=?

Q: What's the radius of a circle with an arc length of 15 feet that subtends a central angle by 3…

A: Given, Length of arc (l)=15 Central angle (theta)=3 radius of circle(r)=?

Q: A 21m tall house has an angular size of 2.2 degrees when viewed from a distance. How far away is the…

A: Recall the following. Angular size=sizedistance

Q: Determine the angle at the center of a circle with radius 8.0 ft for an arc lengih of 12.0 ft.…

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Q: Find the length of the arc intercepted by a central angle of (2\pi )/(5) radians to a circle radius…

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Q: On a circle of radius 9 feet, what angle would subtend an arc of length 2 feet? In radians: Preview…

A: we know that for an angle of 2π radians the arc length is 2πr (circumference )therefore for angle θ…

Q: A wheel rotates at the rate of 25 revolutions per minute. How many radians per minute does it…

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Q: A wheel is rotating 5 radians per second, and the wheel has a 71 inch diameter. What is the speed of…

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Q: Find the length of the arc of a circle of diameter 8 meters subtended by a central angle of π4…

A: Note that, the arc length of a circle with radius r and subtending and angle θ is given by S=rθ.…

Q: An arc has a length of 123.53 millimeters and a radius of 28 millimeters. What is the angle of the…

A: Consider the angle θ at the center covered by the arc of length 123.53 mm. Here, the objective is to…

Q: the measure in radians of the central angle of a circle of a radius 19 that intercepts an arc of…

A: Given : radius r = 19 arc length s = 13

Q: What Will be the time be if the clock covered a distance of-4π/3 radians? What is the measure of the…

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Q: What is the distance of AC to the nearest meter?

A: Given that: A triangle ABC such that ∠A=85°,∠B=65° and AB=400m

Q: A ladder, 10 ft long, rests against a wall. If the bottom of the ladder slides away from the wall at…

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Q: An object is traveling around a circle with a radius of 12 feet. If in 20 seconds a central angle of…

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Q: The rear wheel of a tractor has a 23​-in radius. Find the angle​ (in​ radians) through which a wheel…

A: The radius of the wheel is 23 in, the time taken to rotate the wheel is 13 sec and the speed of the…

Q: What is the radian measure of an angle of 230º?

A: We have to calculate Radian Measure of an angle of 230°

Q: What is the approximate radian measure of an angle with a degree measure of 59.6º?

A: To convert degree in to radian, multiply by π/180°. Simplify it

Q: What is the angular speed in radians per second of a large flywheel that rotates through an angle of…

A: In 2 seconds it rotates 200 degrees So in 1 second it will rotate (200/2)=100 degree So the angular…

Q: The radius of a car wheel is 15 inches. If the car is travelling 65 miles per hour, what is the…

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Q: What is the radian measure of a 300º angle

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Q: In a circle with a radius of 10 inches, an arc is intercepted by a central angle of 2 radians. What…

A: Given radius 10 inches Centre angle = 2 radian