Find the lengths of both circular arcs of the unit circle connecting the point (-V2/2, -V2/2) and the endpoint of the radius the makes an angle of 8 radians with the positive hori- zontal axis.

Q: Find the inclination (in radians and degrees) of the line passing through the points:   (square root…

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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: What is the size of the smallest angle coterminal with an angle of 1000t radians?

A: Recall the fact that ∠A and ∠B are called co terminal angles if their difference will be an integral…

Q: How do you find the length of the arc of a circle of diameter 10 meters subtended by a central angle…

A: The formula for the length of an arc of a circle is:…

Q: The terminal side of an angle 0 in standard position intersects the unit circle at What is tan (0)?

A: Given the terminal side of an angle in standard position intersects the unit circle at (12/37 ,…

Q: If the length of arc of a circle of radius 2/3 feet is 14 feet. then the central angle 0 is:

A: Given Radius of circle (r)=23feet & Length of arc (s)=14 feet To find central angle θ:

Q: Find the lengths of both circular arcs of the unit circle connecting the point (−√3/2, −1/2) and the…

A: Given:  Point: ( -√3/2 , -1/2 )   Angle = 20°

Q: Determine the measure of the central angle that is formed by an arc length of 5 cm in a circle with…

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Q: what length does arc have that is swept out by 5 radians on a circle with radius 1

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Q: If the terminal side of angle θ goes through the point (−2√13/13,−3√13/13) on the unit circle, then…

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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: Find the angle between 0 radians and 2n radians that is coterminal to the given angle. 41n radians…

A: The given angle is: 41π9  radians

Q: Find the length s of the arc of a circle of radius 49 meters subtended by the central angle 1/7…

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Q: Find the exact coordinates of the point on a circle of radius 5 at an angle of 3

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Q: Find three angles coterminal with an angle of 1 radian.

A: We have to find three angles coterminal with an angle of 1 radian.

Q: Find Θ to the nearest degree if Θ is the angle formed by connecting the point (3,-3) to the origin…

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Q: Find the lengths of both circular arcs of the unit circle connecting the point (-V3/2, –1/2) and the…

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Q: Find the distance along the surface of the earth between City A and City B if the two cities…

A: Given,  Earth is a sphere of radius = 4000miles Two cities A and B make an angle at centre of 0.8…

Q: A 20 ft ladder leans agaainst a building so that the angle between the ground and the ladder is 70…

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Q: Find 0 (in radians) for an angle having an arc length of 21 and a radius of 8. 0 = radians Enter

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Q: Determine the length of the arc (in radian measure) and the measure of the angle (in radian and…

A: 1)  When the point starts rotation along the circumference of a unit circle from the point 1,0 and…

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

A: Given Diameter (d) = 14 m And central angle (θ) =3π/4 radians

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: Find a positive angle less than 2 pi that is coterminal with 31 pi over 8?

A: To express the given angle in the standard form (between 0 and 2*pi)

Q: A ladder placed against a wall such that it reaches the top of the wall of height 6 m and the ladder…

A: Introduction :Given ,Then we have asked to calculate the length BC.

Q: 2. Find the lengths of both circular arcs of the unit circle connecting the point (–V2/2, -V2/2) and…

A: I have given you detailed solution and also explained each and every step so that you can get it…

Q: Two cities are approximately 600 miles apart on the surface of the earth. Assuming that the radius…

A: The distance between the two cities on the surface of the earth is 600 miles. The radius of the…

Q: A central angle in a circle of radius 8 is subtended by an arc of length 10p. Find the angle’s…

A: Given, r=8  Arc length= S=10π Angle=θ So in radian mode:

Q: Determine the length of the arc (in radian measure) and the measure of the angle (in radian and…

A: Given: Length starts from point (1,0) to positive x-axis, negative x-axis, positive y-axis, and…

Q: Find the arc length subtended by a central angle of 7.326 radians in a circle of radius 5 units.

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Q: What is the value of tan θ if the terminal side of angle θ intersects the unit circle in the first…

A: Terminal side of angle θ intersect the unit circle at x = 423

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: A ladder placed against a wall such that it reaches the top of the wall of height 6 m and the ladder…

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Q: A ladder placed against a wall such that it reaches the top of the wall of height 6 m and the ladder…

A: Answer :2√3 m

Q: Find the length s of the arc of a circle of radius 80 meters subtended by the central angle 1/10…

A: Find the length s of the arc of a circle of radius 80 meters subtended by the central angle 1/10…

Q: A ladder placed against a walll such that it reaches the top of the wall of height 6m and the ladder…

A: Given: A ladder is placed against a wall such that it reaches the top of the wall of height 6m and…

Q: The shadow of a red-pine tree in northern Minnesota is 131 feet long when the angle of depression…

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Q: A central angle in a circle of radius 8 is subtended by an arc of length 10π. Find the angle’s…

A: r=8  &  l=10π

Q: Find the radian measure of the central angle of a circle of radius r =5 feet that intercepts an arc…

A: we have to find the radian measure of the central angle of a circle of radius r=5 feet that…

Q: A 73-foot rope from the top of a circus tent pole is anchored to the flat ground 43 feet from the…

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Q: A balloon is flying at the end of a 170-m length of string, which is anchored to the ground. The…

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Q: What is the length of an arc cut off by an angle of 3 radians on a circle of radius 8 inches?

A: We first find the circumference of the circle.Circumference= 16 pi inches.

Q: Find the radian measure of the central angle of a circle of radius r =1 meter that intercepts an arc…

A: Given radius r = 1 meter and arc length = 600 centimeters. Angle θ=Arc lengthradius.

Q: A building is locates at the end of a street that is inclined at angle of 8° with the horizontal. At…

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Q: A ladder placed against a wall such that it reaches the top of the wall of height 10 m and the…

A: Given a  ladder placed against a wall such that it reaches the top of the wall of height 10 m and…

Q: Find the length s of the arc of a circle of radius 95 miles subtended by the central angle 21°.

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Q: 9. Find the radian measure of the central angle of a circle of radius 3 meters that intercepts an…

A: As we know that the angle in radian subtended by an arc on the centre of circle is always equal to…

Q: Determine the length of the arc in the radian measure and the measure of the angle in radian and…

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Q: A cell phone tower Is anchored by two cables on each slde for support. The cables stretch from the…

A: We can draw the following image: Let say the cable is distanced by 2x feet.