Although Earth is not a perfect sphere, assume that it is for the purposes of this portfolio and use the formula for the arc length of a segment of a great circle on a sphere, s = rθ, to find the distance between your two locations. In this case, r is the radius of Earth, which is approximately 3,963.2 miles. Find the distance between your two locations.

Q: A circle has a radius of 16 m. Find the lengths of the arc intercepted by a central angl Do not…

A: Given that  Radius of the circle =16m S=length of the arc  Central angle =π/2 radians

Q: In circle S with mZRST = 120 and RS = 16 units, find the length of arc RT. Round to the nearest…

A: The answer is given below:

Q: For a circle of radius r, an expression that relates the area of a sector to the arc length defined…

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Q: In circle G with MZFGH = 60 and FG = 18 units, find the length of arc %3D FH. Round to the nearest…

A: In te given triangle  angle =60 degree radius= 18 unit

Q: Find the length of the darkened arc. Leave your answer in terms of T. 9 in. 120° O 18T 37 6T O 277

A: solve the following

Q: Assuming Earth to be a sphere of radius 4000 miles, how many miles north of the Equator is Miami,…

A: Solution:Radius=4000 milesTo find the length  Miami, Florida north from the equator if it is…

Q: A winch on a sailboat is 8 in. in diameter and is used to pull in the "sheets" (ropes used to…

A: Given data: The winch on as sailboat is 8 in in diameter. Then the radius of a winch is given as…

Q: In circle Q with mZPQR 82 and PQ = 5 units, find the length of arc PR. Round to the nearest…

A: Consider the circle with the center Q. We get the radius of the circle as the length of PQ. The…

Q: In circle T with the measure of minor arc SU= 98°, find mZSVU. T V U S

A: Central angle = 2× inscribed angle, on same arc.

Q: The circle below has center V, and Its radlus Is 5 ft. Glven that mZWVX=170°, find the length of the…

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Q: On a fitting for a hex wrench, the A distance from the center O to a vertex is 5 mm. The length of…

A: Consider the given figure, Join the vertex D with center O and consider the △ODF, The m∠ODF=60° so,…

Q: Use the formula for arc length to show that the circumference of the circle       x2 + y2 = 1 is 2 .

A: x2 + y2 = 1 has center (0,0) and radius = 1 unit. We solve for y from the equation. We will…

Q: Consider circle H below. Y Part A: If XH = 10 feet and m XỲ 100°, then determine the arc length of…

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Q: Consider the slice of the unit circle in Quadrants 2 and 3, bounded by the radii you drew in part…

A: Given that: Radius of pizza, r=9 in

Q: In circle J with mZHJK = 48 and HJ = 11 units, find the length of arc HK. %3D Round to the nearest…

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Q: Approximate the arc length of one-quarter of the unit circle (which is 7/2) by computing the length…

A: Given a unit circle.  To find the approximate arc length of one quarter of the given unit circle by…

Q: A laser beam is to be directed toward the center of the moon, but the beam strays 0.5degree from its…

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Q: Given: YZ is tangent to circle J at point Y and the mzWY2 = 68°, what is the measure of arc WXY?

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Q: The larger circle is inscribed in a square with sides of length 4 cm. The smaller circle is tangent…

A: Given:          The larger circle is inscribed in a square with sides of length 4cm.          The…

Q: Consider the following diagram       Given the concentric circles with center C and with m<=75,…

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Q: Find the length s of the arc that subtends a central angle of measure 40 degrees in a circle of…

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Q: Consider the following measures shown in the diagram with the circle centered at Point C. 5 cm The…

A: In circle angle at center is double angle subtended at circumference In given circle :…

Q: 5. Use the arc length formula to determine the circumference of the circle defined by the equation…

A: To find the circumference of circle

Q: Use the arc length formula to find the length of the line between the points indicated. Verify your…

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Q: Sylvia conducts an experiment using two long pieces of a cord and a spherical ball that has been cut…

A: If we have a hemisphere with radius r, then surface area of hemisphere is equal to, Also if we have…

Q: The circle below has center P, and Its radius is 6 ft. Glven that m QPR=150°, find the length of the…

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Q: Use the arc length formula to find the length of the line between the points indicated. Verify your…

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Q: Find the length of arc DF given that m < DOF of circle O is 60° and OF = 15 ft. 60° 15 ft. 20.5 O 15…

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Q: Find the measure of the arc of a sector whose area is 2π sq m given that the area of the circle is…

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Q: In circle Q with m/PQR= 30 and PQ = 9 units, find the length of arc PR. %3D Round to the nearest…

A: Here length PR is known as Chord of Circle made up of two radii of the circle.   Any bisector…

Q: In a circle whose radius has length 24 m, the length of an arc is 28 t m. What is the ree measure of…

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Q: In a circle whose radius is 4 cm, find the arc length intercepted by each of these angles C. 2. a.…

A: The radius of the circle is 4 cm. We have to find the arc length intercepted by given angles.

Q: se the arc length formula to find the length of the line between the points indicated. Verify your…

A: The given equation of line is, 4x-6y+8=0......................(1) we have to calculate the arc…

Q: In circle K with MZJKL = 144 and JK: 6 units, find the length of arc JL. Round to the nearest…

A: This question is related to arc length. We will solve this question by using formula of arc lenght.

Q: Find the length of the radius if AB is a tangent to O P C 15 A P 12

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Q: In circle Q with 7PQR 82 and PQ = 5 units, find the length of arc PR. Round to the nearest…

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Q: Sylvia conducts an experiment using two long pieces of a cord and a spherical ball that has been cut…

A: Given- Sylvia conducts an experiment using two long pieces of a cord and a spherical ball that has…

Q: A ladder measuring 2.21 m in length is leaning against a wall. If the angle the ladder makes with…

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Q: Find the length of an arc that has a 123° measure and is in a circle whose radius is 18. Let pi =…

A: Our objective is to find the arc length.

Q: Find the length s of the circular arc. (Assume r = 2 and 0 = 112°.

A: topic - length of arc

Q: Find the area of the part of a petal of the four leafed rose r = circle of radius . |cos(20)| that…

A: Find the angle of intersection of one petal with the circle of radius 1/2 cos2θ=12θ=π6, -π6 Now…

Q: OA and LT are tangents to circle M at A and L, respectively. If mUL = 120, mLA = 110, and mCA = 110.…

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Q: If A denotes the area of the sector of a circle of radius r formed by the central angle 0, find the…

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Q: Solve for x to the nearest tenth if necessary. Assume that segments that appear to be tangent are…

A: Given,  A circle with two intersecting chords KM  and  LN.  We have to solve for x

Q: the quarter-circle of radius r shown to the right, find the formula for the segment area A in terms…

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Q: AC is tangent to circle O at point C. A 23° C What is the measure of LAOC?

A: Given : AC is tangent to the circle O at the point C

Q: Use the formula to calculate the length of mìnor arc AB Express your answer in terms of to. A O/20°…

A: To find the length of minor arc

Q: Consider the following measures shown in the diagram with the circle centered at Point G. G The…

A: Given: r = 8 inches, m∠AHB=70°

Q: If the exact area of the sector determined by a 20°arc is 9/2πcm². Find the length of the radius of…

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Q: If ?=10cos^(3)? and ?=10sin^(3)?, find the total length of the curve swept out by the point (?,?) as…

A: Given x=10cos3ty=10sin3t