Given the radius of a circle r = 4 cm and the central angle = radiansCalculate the arc length (a) and sector area (A) in exact value(s)a) a 100pi/9, A= 38pi/9b) a= 45pi/3, A= 320pi/6c) a= 90pi/3, A= 40pi/9d) a= 20pi/9, A= 40pi/9π

The answer provided below has been developed in a clear step by step manner.

Answered: Given the radius of a circle r = 4 cm…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.CR: Chapter Review

Problem 3CC

See similar textbooks

Similar questions

The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle of radius length 3 inches. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
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?
Determine the arc length from point C to point D on the template shown.
Holes are to be drilled in the length of angle iron as shown in Figure 38-1. What is thedistance between two consecutive holes?
A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft from one end of the barn, what is the area of the pasture that the goat is able to graze?
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 center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of radius length 3 in. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
The oblique circular cone has an altitude and a diameter of base that are each of length 6 cm. The line segment joining the vertex to the center of the base is the axis of the cone. What is the length of the axis?
A windshield wiper rotates through a 1200 angle as it cleans a windshield. From the point of rotation, the wiper blade begins at a distance of 4 in. and ends at a distance of 18 in. The wiper blade is 14 in. in length. Find the area cleaned by the wiper blade.
Four circles are equally spaced on a bolt circle 3.5 in. in diameter. Use construction techniques to lay out the centers for the holes.
Three spheres are externally tangent to each other in pairs. Their radii have lengths of 1 in., 2 in., and 3in., respectively. What type of triangle is formed by the lines of centers?

Recommended textbooks for you

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS

Given the radius of a circle r = 4 cm and the central angle = Calculate the arc length (a) and sector area (A) in exact value(s) O a) a= 100pi/9, A= 38pi/9 b) a= 45pi/3, A= 320pi/6 c) a= 90pi/3, A= 40pi/9 d) a= 20pi/9, A= 40pi/9 π radians