Answered: A central angle of a circle subtends an…

A central angle of a circle subtends an arc of 14π/3 cm. If the measure of the central angle is 70 degrees, how long is the radius?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.4: Cicumference And Area Of A Cicle

Problem 15E: The central angle corresponding to a circular brake shoe measures 60. To two decimal places how long...

See similar textbooks

Related questions

Q: The angle subtended by an arc of a circle of radius 60cm is 152 degrees. What is the length of the…

Q: a circle of radius 7, the length of the arc that subtends a central angle of 300 degrees is…

Q: On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?

Q: If a vertical pole 30 ft tall casts a shadow 8 ft long, how long would the shadow of a 40-ft pole be…

Q: Find the radius r of the circle if an arc of length 20 cm on thecircle subtends a central angle of…

Q: On a circle of radius 14 ft, how long is an arc that subtends a central angle of (a) 4pi/7 radians?…

A: Length of an arc substracting an angle θin radiansat the centreis given by ,l=θrwhere r : radius…

Q: How long is an arc intercepted by the given central angle in a circle of radius 2.97in? 60° The…

A: How long is an arc intercepted by the given central angle in a circle of radius 2.97in? 60° The…

Q: If the length of arc DF is 14T units and the measure of ZE is 60 degrees, What is the radius?

A: Length of the arc DF⏜ = 14π Central angle, ∠E = θ = 60° Radius of circle, r = ?

Q: On a circle of radius 10 feet, what angle would subtend an arc of length 5 feet?

A: Formula used:

Q: On a circle of radius 8 feet, what angle would subtend an arc of length 6 feet? degrees

A: it is a very easy concept of circle.

Q: If an arc has a measure of 97° and the circle has radius = 10, what is the arc length? (Let pi =…

Q: A central angle of 45 degrees subtends an arc of 12 cm, what is the radius of the circle

Q: A circle with a diameter of 10 cm and a central angle of 30° is drawn below. What is the area, to…

A: Here we have to first find the area of the sector and then find the nearest tenth of the area.…

Q: Each of the legs of an isosceles triangle is 40 cm in length. The base is 30 cm in length. Find the…

A: The question described above is drawn below. Since the perpendicular bisector in isosceloes…

Q: The radius of a circle is 9 miles. What is the length of a 180 arc?

Q: A car is travelling around a circular road whose diameter is 20 m. If the distance traveled by the…

Q: An isosceles triangle has a base with length 17 inches and two congruent sides with lengths of 12…

A: Given: The base length of the isosceles triangle is 17 inches and the length of two congruent sides…

Q: on a circle of radius 6 feet, what angle would subtend an arc of length 6 feet

A: Given radius=6 ft The formula to find circumference is, C=2πr Therefore the circumference of the…

Q: On a circle of radius 6 feet, give the degree measure of the angle that would subtend an arc of…

Q: given that csc (θ) = - (square root 5) over (2) and θ is in Quadrant IV, what is cot (θ)? Give the…

A: our objective is to find the conclusion

Q: On a circle of radius 10 feet, what angle would subtend an arc of length 4 feet?

Q: On a circle of radius 10 m, how long is an arc that subtends a centralangle of (a) 4π/5 radians? (b)…

A: From the given data:

Q: In a circle of radius 3, the length of the arc that subtends a central angle of 224 degrees is Round…

Q: The area of a sector of a circle with a central angle of 1/5π rad is 22 cm². Find the radius of the…

Q: Evaluate the area of the sector of a circle if its radius is 9.4 cm and the angle subtended at the…

Q: How long is an arc intercepted by the given central angle in a circle of radius 18.96 in? 45° .....…

A: The radius of the circle is r=18.96 in. and the angle subtended by the arc at the center of the…

Q: An isoscelese triangle has a base with length 17 inches and two congruent sides with lengths of 12…

A: Given An isosceles triangle has a base with length 17 inches and two congruent sides of 12 inches…

Q: In a circle whose radius has length 9m, the length of an arc is 5π m. what is the degree measure of…

Q: A circle has a radius of 21 millimeters. What is the length of the arc intercepted by a central…

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

A: Given that, r = 5 feet Arc length = 6 feet. The formula to find angle is,

Q: On a circle of radius 10 m, how long is an arc that subtends a central angle of 4pi/5 radians?

A: The circle of 10 m radium is as follows:

Q: Find the radius of a circle with an arc length of 4 feet that subtends a central angle by 125°

Q: The area of circle P equals 12 square units and area of sector APD equals 4 square units. Based on…

A: We have been given that the area of a circle with a radius r is 12 square units and the area of a…

Q: The area of a sector of a circle with a central angle of 3π/14 rad is 21 m2. Find the radius of the…

Q: A central angle e in a circle of radius 20 m is subtended by an arc of length 25TT inches.Find the…

A: Given: Radius of a circle is 20 m and the length of an arc subtending a central angle θ is 25π…

Q: An arc of length π/5 cm subtends a central angle θ of a circle with radius 2/3 cm. What is θ in…

A: The length of the arc of a circle in terms of the angle subtended by it at the centre is given by:…

Q: If the measure of a minor arc of a is 86 degrees, then what is the measurement of its corresponding…

A: Degree measure of a minor arc is defined as the measure of its corresponding central angle. Degree…

Q: If the central angle of a circle measures 80°, and the arc length is 10cm, what is the length of the…

A: Note that : Let circumference of circle be 2πr where r is radius of circle.

Q: You want to make an 80° angle by marking an arc on the perim-eter of a 12-in.-diameter disk and…

A: you want to make an angle 80-degree by making an arc on the perimeter of 12 in-diameter disk and…

Q: With what radius will a circle with a central angle of 15° have an intercepted arc of length of 3/4n…

Q: In a circle of radius 7, what is the length of the arc that subtends a central angle of 100 degrees.

Q: The angle of a sector in given circle is 20 degrees and the area of a sector is equal to 800 cm…

Q: A circle has a radius of 18 cm long. How large is the central angle that subtends an arc of 10π cm.…

Q: On a circle of radius 6 feet, give the degree measure of the angle that would subtend an arc of…

Q: On a circle of radius 6 feet, what angle would subtend an arc of length 4 feet?

A: The length of radius, r= 6 feet The length of the arc, l=4 feet

Q: on a circle of radius 13km how long is an arc that subtends a central angle of (a) 6pi/7 radians?…

Q: In a circle of radius 11 cm, an arc of length 64.9 cm is formed by what central angle?

A: Given : Radius of Circle = 11 cm, Arc of length = 64.9 cm, The formula of…

Q: If a circle has radius 10 cm, find the length of the arc subtended by a central angle of 72

A: To find the length of the arc subtended by a central angle of 72.

Q: 5. If the radius of a circle is 17 cm, find its central angle that intercepts an arc of 55 cm.

Q: On a circle of radius 6 feet, what angle would subtend an arch of length 7 feet

A: Given the length of the circle is r=6 feet the length of the arc of the circle is S=7 feet Let θ be…

Question

A central angle of a circle subtends an arc of 14π/3 cm. If the measure of the central angle is 70 degrees, how long is the radius?

Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The central angle corresponding to a circular brake shoe measures 60. To two decimal places how long is the curved surface of the brake shoe if the length of the radius is 7 in.
In order to make a conical duct, a circular sheet of metal is to be cut in the shape of a sector of a circle. If the radius of the sector is 28.5 in. and the arc length of the of the sector is 26.4 in., what are the central angle, , and area of the sector?
A company logo on the side of a building shows an isosceles triangle with an inscribed circle. If the sides of triangle measure 10 ft, 13 ft and 13 ft, find the length of the radius of the inscribed circle.
A triangle has angles measuring 30, 30, and 120. If the congruent sides measure 6 units each, find the length of the radius of the circumscribed circle.
An exit ramp from one freeway to another freeway forms a 900 arc of a circle. The ramp is scheduled for resurfacing. As shown, its inside radius is 370 ft, and its outside radius is 380 ft. What is the area of the ramp to the nearest integer?
The radii of two concentric circles differ in length by exactly 1 in. If their areas differ by exactly 7 in2, find the lengths of the radii of the two circles.
A section of a piece of round stock with a V-groove cut is shown. Find the sectional area of the stock. Round the answer to the nearest square millimeter.
A guy wire 25 ft long supports an antenna at a point that is 20 ft above the base of the antenna. How far from the base of the antenna is the guy wire secured?
An airplane reaches an altitude of 3mi above the earth. Assuming a clear day and that a passenger has binoculars, how far can the passengers see? HINT: The radius of the earth is approximately 4000 mi.
The base of the ladder in the figure is 6 ft from the building, and the angle formed by the ladder and the ground is 73. How high up the building does the ladder touch?
All sections of the block in Figure 13-9 are equal in length. Determine the length A to the nearest thousandth millimeter.
When radii OA and OB are placed so that they coincide, a 240 sector of a circle is sealed to form a right circular cone. If the length of the radius of the circle is 6.4 cm, what is the lateral area of the cone that is formed? Use a calculator and round the answer to the nearest tenth of a square inch.