Using the given information, find the area of the sector of a circle of radius r formed by a central angle 0.Radius, rCentral Angle, 030 meters0 = 18°The area of the sector issquare meters.(Simplify your answer. Type an exact answer in terms of T.)

if θ is measured in degrees than area of sector is Area=θ360°×πr2

Answered: Using the given information, find the…

Using the given information, find the area of the sector of a circle of radius r formed by a central angle 0. Central Angle, 0 0 = 18° Radius, r 30 meters

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.CR: Review Exercises

Problem 34CR: A circle has an exact area of 27ft2. aWhat is the area of a sector of this circle if the arc of the...

See similar textbooks

Related questions

Q: 10) Graph y = x - 1 3 Fill in answers hen plot two points then guaph. Slope = %3D y-intercept = %3D ...

A: Solving the problem by finding the slope and the y intercept.

Q: Draw the angle in standard position. State the quadrant in which the angle lies. Work the exercise w...

A: On the co-ordinate plane, the negative angles go in a clockwise direction.

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: Find the angle of elevation of the sun when a 42 foot tree casts a shadow of 68 feet.

Q: 2) Write an equation of the line in standard form. Ax+ By =C Find the y- intercept: %3! y = mx + b S...

A: topic - equation of a line y intercept is where graph intersects y axis and is denoted by b. slope i...

Q: 2. Convert the polar coordinate (4, 4,=) to Cartesian coordinate

Q: 1. Find the arclength s and area of the sector A for the image below. Round each answer to two decim...

A: SOLUTION-

Q: If cos(-0) > 0 and sin(-0) > 0, then the angle 0 should lie in what quadrant? QII QI QII O QIV

A: From given information

Q: 2. Find the exact value for the expression under the given conditions. a. sin(a - 3); sin(a) = 3 for...

Q: Determine the fundamental solution set (FSS) of 2 sin(t - 5) +3/3 = 2/3 15+7 t = 3 15-2т |t = 3 %3D ...

A: Here, the given equation is: 2 sin(t-5)+33=23⇒2 sin(t-5)=23-33⇒2 sin(t-5)=-3⇒ sin(t-5)=-32⇒t-5=sin-1...

Q: 20) then A- Let A =

A: Given, A=2011To find : The inverse matrix i.e. A-1.

Q: Find cos(s - t) given that cos s = -5/13 , with s in quadrant II, and sin t =15/17 , with t in quadr...

Q: Find the length of the vector formed by the straight line joining the points (1,3) and (5,2). Also f...

A: Topic = Vector

Q: 20 Find sin 20 if cos 0 = (where 0 is in the fourth quadrant). 29 sin 20= | | (Type an integer or a ...

A: Topic: trigonometry

Q: Next Using a double-angle or half-angle formula to simplify the given expressions. (a) If 2 sin(37°)...

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: 2. 2 sin 0 – 1 = 0

Q: 4. If sin(a) : and tan(a) > 0 Find sin(2a)

A: Given query is to find the value of indicated trigonometric function.

Q: use

A: We will find the coterminal angle.

Q: equation of a line in Slope-Intercept Form that passes 15) Write an through (-2, 6) and (6, 8).

A: First we have to find the slop m=y2-y1x2-x1 i.e., m=8-66--2 m=28 or m=14

Q: Find the value of the missing variable in the parallelogram and the lengt diagonal. Y. 3a – 7 За - 5...

Q: A ladder 52 feet long is placed so that it will reach a window of 40 feet high on one side of a stre...

A: Given: To determine: Length of BD

Q: If the graph of the equation y cos(x) is to be modified to triple the amplitude and to double the pe...

A: Given: Triple the Amplitude and double the period

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

Q: Suppose t is in Quadrant II and that sin t= 2/5. Find the value of the other trigonometric functions...

A: We have to find other trigonometric function

Q: From point A, at street level and 205 feet from the base of the building, the angle of elevation to ...

A: topic - application of trigonometry

Q: Maximise Z = 8000a + 7000b S.T. 3 a + 1 bs 66 l a+ 1 bs 45 l a +0bs 20 0 a +1 bs 40 and both a and b...

Q: In problems 1-5, by elimination the constant 'a' and 'b' obtain the DEs for which the following func...

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: Calculate the resultant and equilibrant vector and its direction of a man who walks 25.0meters East,...

Q: Evaluate correct to 4 decimal places, the following i. sec 302°29' ii. cosec 49°7' iii. 4 sec 32°10-...

A: Basic conversion of angles is required.

Q: Solve for z, and give your answer in the form a+bi. (z-2-2i)/(-5-i)%=z

Q: Orthogonal means being [ Select ) To determine if two vectors are orthogonal, check if their (Select...

A: follow the procedure given below.

Q: If sin t =2/3, and t is in quadrant I, find the exact value of sin(2t), cos(2t), and tan(2t) algebra...

Q: Two observers A and B who are 462m apart find at the same instant that the angles of elevation of a ...

A: Given that , AB=462 m find altitude h=?

Q: 38.1° 5.92 m 4.32 m 26.4°

Q: Jerry stands at a distance from the base of a 30 foot flagpole and views its top at an angle of 42°....

A: Topic:- trigonometry in right angle triangle Note:- as per our guideline if more than one question ...

Q: Find a positive angle less than 360° that is coterminal with the given angle. - 230° A positive angl...

Q: 20) What Slope is perpendicular to the graph of -5x-2y = -8?

Q: Verify the Trigonometric Identity; show steps. sin (x) – cos²(z) sec2(x) – csc²(x) sin(x) + tan(x) t...

A: We need to verify trigonometric identity.

Q: measure a stone face carved on the side of a mountain, two sightings 650 feet from the base of the ...

A: Given query is to find the height of the stone face using triangle.

Q: 9) Point A lies on the graph of f(x)=x+2. Locate the image of Point A that lies on the graph of f()....

A: f(x)=x2+2 Point A of f(x) is -2,1

Q: 1. Convert the Cartesian coordinate (12,5) to polarcoordinate.

A: Given the cartesian co-ordinate(x,y)=(12,5)

Q: Sin2A =

A: The detailed solution is given below Thank you

Q: Given the diagram below, what angle should be used in the Cosine Law formula? (Resultant Vector outl...

A: Given that:

Q: wo sides of a triangle measure 4 and 13 and the angle at the vertex where those two sides meet measu...

A: Given that Two sides of triangle measure 4 and 13 and angle at vertex where those two sides meet mea...

Q: Name the extenal secant segments in each of the following figures. F

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

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

Q: 2 =, where 0 < A < , what is the value of cos 4? 2 18+6/5 6. 18+6/5 18–6/5 6. V18-6/5 6

A: Use, Cos (A) = 2 cos^2(A/2) - 1

Question

Using the given information, find the area of the sector of a circle of radius r formed by a central angle 0.
Radius, r
Central Angle, 0
30 meters
0 = 18°
The area of the sector is
square meters.
(Simplify your answer. Type an exact answer in terms of T.)

Expert Solution

Step 1

$i f θ i s m e a s u r e d i n d e g r e e s t h a n a r e a o f s e c t o r i s A r e a = \frac{θ}{360 °} \times {πr}^{2}$

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Refer to the drill jig shown. Determine 1.
Refer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures. When 1 is slightly greater than 0: a. How does side y compare to side r? b. How does side x compare to side r? c. How does side x compare to side y?
A circle has an exact area of 27ft2. aWhat is the area of a sector of this circle if the arc of the sector measures 80? bWhat is the exact perimeter of the sector in part a?
The sector of a circle has an area of 231.3 sq in. and a central angle of 6515'. What is the radius of the circle? Round the answer to 1 decimal place.
The area of a circle is 600m2. Find the area of a sector of this circle that subtends a central angle of 3 rad.
Given: XYZ with angles as shown in the drawing Find: XY HINT: Compare this drawing to the one for Exercise 20.
The center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle of radius 9 inches. What is the exact length of common internal tangent AB? HINT: Use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
A tangent ET is constructed to circle Q from external point E. Which angle and which side of triangle QTE are largest? Which angle and which side are smallest?
In Review Exercises 5 to 10, BA is tangent to the circle at point A in the figure shown. mD=40,mDC=130,mB=?
Given that CF is a tangent to the circle shown: a)CF=6,AC=12,BC=?b)AG=3,BE=10,BG=4,DG=?c)AC=12,BC=4,DC=3,CE=?d)AG=8,GD=5,BG=10,GE=?e)CF=6,AB=5,BC=?f)EG=4,BC=3,CD=ED,ED=?g)AC=30,BC=5,ED=12,CD=?h)AC=9,BC=5,ED=12,CD=?i)ED=8,DC=4,FC=?j)FC=6,ED=9,CD=?