Answered: Find an area of the sector made by a…

Find an area of the sector made by a 11π 6 -central angle in a defined circle with radius 12.8cm. Find the length of the arc of this sector.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section: Chapter Questions

Problem 38CT

See similar textbooks

Related questions

Q: If cos(0) = and 0 is in the 2nd quadrant, find the exact value for sin(0). 7 sin(0) = %! Add Work Su...

A: solution:-cosθ=-27, θ is in 2nd quadrant

Q: C. Find the exact value of the following 1. cot ) 2. csc 630°

Q: Let cosX = 9/41 where tanX < 0. Determine cotX

A: Given that cos (x)=941, where tan (x)<0Our Aim is to determine cot (x)=?

Q: Evaluate cos 1 (2+3i).

A: Given : cos-12+3i

Q: What's the cosine ratio of ZA? A C Select one: O AB AC O AC BC BC AB о вс AC

A: NOTE: Refresh your page if you can't see any equations. . here adjacent side of the angle A is AB an...

Q: Suppose that u is a vector pointing north- west with u u= 12. Which of the following vectors is equa...

Q: Find the recursive and explicit rule for each sequer 14, 20, 26, 32,... recursive rule: explicit rul...

Q: 40° 63°

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Solve the equation on the interval 0≤θ<2π. 4sinθ+5=3

A: Given that: 4sinθ+5=3

Q: The equation of the hyperbola whose foci are (-2,0) and (2,0) and length of transverse axis is 2 is ...

Q: f(x) = f(x + k) %3D (X) = cos 5 (중)

Q: 3. Two ships leave the same port at 7:30 AM. The first ship sails towards Europe on a 57° course at ...

Q: Refer to the Diagram to answer the following questions. Find the value of the sine for LA. Find the ...

Q: Question 26 What is the maximum value of f(t) = sin t + cos t in the interval 0 <t < /2 O 2/2 O 2 O ...

Q: Verify the following identity. 1+ cos 2x cotx%D sin 2x

A: Recall: sin2x = 2 sinx cosx cos2x = 2cos2x -1 cotx = cosxsinx

Q: 73. Flying Distance The bearing from A to C is S 52° E. The bearing from A to B is N 84° E. The bear...

Q: If 0 E (T, ST), then what is its reference angle? 2 о0 — п - O T - 0 27 – 0

Q: Solve for y: y = sin (arctan (x/2)) 2 O cannot be determined Vx2 +4 Va2+4

Q: Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 36 and DC = 18, what is th...

A: By using the similar triangles property we will find the value of X as shown below

Q: Find the radian measure of the central angle of a circle of radius r = 50 inches that intercepts an ...

Q: In the interval 0 < x < 2T, for what value of x does sin x = cos x? - only 4 - 57 T and 4 - 4 .and -...

Q: What is the equation of the graph below? (x.0) (22.-2) O y = sin (2x) - 1 %3D O y = cos (2x) - 1 O y...

Q: Multiple Choice.

Q: Which equatlon best represents line a ? 876-5 BRH0 1234567 OA y=-3r-4 OBy= Oc y- -4 OD y=3x-4

A: We can find the answer as below.

Q: 38.1° 5.92 m 4.32 m 26.4°

Q: Evaluate; sin? COs-1 Consider the angle in first quadrant.

A: topic - trigonometric ratios

Q: If cot 0 is undefined, and <0 < *, then what is the value of Csc 0? O-1 O undefined 0 1

Q: Let P be the circular function that sends a real number A to the point (cos 0, sin 0). Which of the ...

Q: Solve the equation. Give a general formula for all the solutions. List six solutions. 0 = 0 so5 Writ...

Q: Suppose A is in Quadrant I and sin 0 %3D what is the value of Cos e ? 5/6

A: We need to find to value of cosθ when sinθ is given.Below find the solution in the given image.

Q: Find the distance from P(5,3) to -5æ – 2y + 9 = 0

A: We need to find the distance between the point P(5,3) and the line -5x -2y + 9 =0

Q: 2. Simplify the following by using algebra and the fundamental trigonometric identities, your final ...

A: Since, cot(x)=cos(x)sin(x)

Q: Which of the following is TRUE? A. sin? 을 + cos? 을=D 1 2 B. sin 20 + cos² 20 = 2 %3D C. sec2 - tan? ...

A: Solving LHS and comparing to RHS

Q: What is the distance from P(2,4) to 2x-3y+1=0?

Q: 2. 2 sin 0 – 1 = 0

Q: Find the sum and product of the roots. 1.) x2 + 8x + 15 = 0

Q: Solve the equation for exact solutions over the interval [0, 2n). cscx - 4 csc x 0 5TL 5

Q: Find the cube root of z = 2+6i using De Moivre's Theorem. Final answer should be expressed in expone...

Q: 2. In In AXYZ, ZX = 72°, XY = 109 m and XZ = 218 m. a) Draw a labelled diagram. b) Solve AXYZ for al...

Q: Which of the following is a solution of sec? x - tan x = 1if 0 <x< 2T. O 7T 4 37 4. 7T 2. 4.

Q: Solve the equation. Give a general formula for all the solutions. List six solutions. sin \theta (\...

A: sinθ=32

Q: 03 do_de 143. V9 – 02

A: The solution of problem no (143) is given in the next steps.

Q: tan x cot x 45. = 1+s cot x tan x

Q: If the graph of y= sin(x) is to be modified by halving its period (period divided by 2) a shifting i...

Q: Find an equation in standard form for the hyperbola with foci at(+8, 0), transverse axis with length...

Q: Are there two distance formulas? 1) d = (x2 - x1)2 + (y2 - y1)2 2) d = (x1 - x2)2 + (y1 - y2)2 I can...

A: Recall: Distance formula between the points x1,y1 and x2,y2 is d= x2-x12+y2-y12.

Q: Suppose you are headed toward a plateau 47 m high. If the angle of elevation to the top of the plate...

Q: hi A NOTE: The picture is NOT drawn to scale. Ancient alien theorists manning two radar stations loc...

A: Given query is to find the the distance of ufo from point A and the height of ufo above the ground.

Q: Find the area of the triangle with a = 18, 6 = 30, and c = 40. %3D %3D Area = Round your answer to 3...

A: NOTE: Refresh your page if you can't see any equations. . here we have a=18 b=30 c=40 find the semi ...

Q: Convert the angle in degrees to radians. - 450° - 450°: radians (Simplify your answer. Use integers ...

Question

Find an area of the sector made by a 11π
6 -central angle in a defined circle with radius 12.8cm. Find the length
of the arc of this sector.

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

Step 1

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

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?
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 area of a sector with a radius of 1058 in. and a central angle of 50. Round your answer to 2 decimal places.
The larger circle is inscribed in a square with sides of length 4cm. The smaller circle is tangent to the larger circle and to two sides of the square, as shown. Find the length of the radius of the smaller circle.
A circle has a radius of 27 inches. Find the length of the arc intercepted by a central angle of160 .
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.
A circle is inscribed in an isosceles triangle with legs of length 10 in. and a base of length 12 in. Find the length of the radius of the inscribed circle.