Find the central angle thetaθ which subtends an arc of length 12 centimeters12 centimeters of a circle of radius 15 centimeters15 centimeters.

Q: Find the measure​ (in radians) of a central angle of a sector of area 53 square inches in a circle…

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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: An object is traveling around a circle with a radius of 5 inches. If in 30 seconds a central angle…

A: Topic:- angular and linear velocity

Q: Find the area of the sector formed by a central angle of1.4 radians in a circle of radius 2.1…

A: It is given that r=2.1m and θ=1.4. If θ (in radians) is a central angle in a circle with radius r,…

Q: Find the radian measure of an angle at the center of a circle with radius 69.0cm that intercepts an…

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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: Find the radius of a circle which has a sector of area 6 square inches determined by a central…

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Q: Find the arc length of the shaded region. Round your answer to the nearest hundredth. 123° 19 ft

A: angle= arc/radius

Q: Find the measure (in radians) of a central angle of a sector of area 20 square inches in a circle of…

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Q: A weather satellite orbits the earth in a circular orbit 500 miles above the earth’s surface. What…

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Q: Let , y) be the point on the unit circle corresponding to an angle 0 in the second quadrant. What is…

A: I am attaching image so that you understand each and every step.

Q: A central angle of 4 radians cuts off an arc of length 24 inches. Find the area of the sector…

A: Given a central angle of 4 radians cuts off an arc of length 24 inches. So  first we find radius of…

Q: Find radius of a circle which has a sector of area 12 square centimeters determined by a central…

A: We are given that a sector of the area has 12 square centimeters and the central angle is 1/10…

Q: How many radians are there in a complete circle?

A: There are 2π radians in a whole circle, which means that half a circle (180°) is equal to π 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 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 terminal point on the unit circle determined by radians. 4

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

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Q: What is the unit circle definition of sin θ?

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Q: Find the angle 0 between 0 radians and 2T radians that is coterminal with the angle (a) - radians.…

A: Due to our guidelines we can only answer one question at a time, therefore I will be answering first…

Q: CoS * and sin o-

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Q: Determine the signs of the six trigonometric functions of anangle u whose terminal side is in…

A: In third quadrant which is from 180 to 270. all the value is positive except tan(u) and cot(u) Where…

Q: Determine the value of tanθ given that the terminal side of angle θ intersects the unit circle in…

A: Terminal side of the angle intersects the unit circle in the first quadrant at (9/10, y) .  Radius…

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: An object is traveling around a circle with a radius of 9 inches. If in 50 seconds a central angle…

A: To determine: The linear and angular speeed of the given object. Given: Radius = 9 inch Time = 50…

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: On a unit circle, the terminal point of theta is (√3/2,1/2). What is theta?

A: Given: The terminal point P32,12. Note that the terminal point satisfies the condition x2+y2=1.

Q: Find the radian measure of an angle at the center of a circle with radius 73.0cm that intercepts an…

A: θ=measure of angle in radianr= radius = 73 cmarc length = 121 cm

Q: Find the sine, cosine, tangent cosecant, secant, and contangent.

A: Given,

Q: Find the radian measure of the central angle of a circle of radius r = 120 inches that intercepts an…

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Q: Find an angle between 0 and 2pi in radians that is coterminal to -185°

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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: 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: If (theta) = 60° is a central angle in a circle of radius 8 feet, find the length of the arc s cut…

A: Then angle 60 degree in radians is, 60°=60π180=3.143=1.047 Rad

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: Find the radius of a circle in which a central angle of π/3 radian determines a sector of area 93…

A: Recall the fact about the area of the sector.

Q: Give the length of the arc cut off by a central angle of 2 radiansin a circle of radius 4.3 inches.

A: Length of an arc: The length of the arc cut off by a central angle of 2 radians in a circle. The…

Q: Find the length s of the circular arc.

A: Given Data: The radius of the circle is: r=9 unit The angle of the arc s is: θ=5π/6   The arc s of…

Q: Explain why a circle of radius 4 cm and a circle of radius 13 m have the same number of radians?

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Q: A central angle of 5 radians cuts off an arc of length 30 inches. Find the area of the sector…

A: Find the radius using the formula for length of arc.

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

A: We know that arc length is given by S=rθr is the radius and θ is the angleGiven r=8 ft and S= 12 ft

Q: Determine the value of tan theta given that the terminal side of angle intersects the unit circle in…

A: terminal side of angle intersects the unit circle in the first quadrant at   910,y

Q: Find the point on the unit circle associated with the angle 0 = .

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Q: The terminal side of angleintersects the unit circle at point (- 0.970, - 0.242) . What is the value…

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Q: Find the central angle which subtends an arc length 7 miles of a circle of radius 39 miles. ?…

A: Explanation of the solution is given below...

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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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.