3.2 Conversion between radians and degrees?Degrees to Radians:Radians to Degrees:a) 60° =b) 120° =c) 135° =d) 30º =e) 150° =f) 270° =g) 27° =h) 81° =Try the next few of questions:multiplying by 3.14159swept through.0°0° = 5 x( )e.g. 315° =a radians =ac5*0gives us a clearer idea of how many radians we havex 3.14159 ≈35radians (1 d.p.) So what about a complete turn?3211Recall circumference of a circle=For a full circle:radians =And so the exchange rate is:radians =or=Angles in radians will often haveAs 180° isradians,so 90° isradians.AboutSo one radian =degreesradius fit round a circle.degreesattached to them.radians; 45° isIf you want the actual number, then simply multiply bye.g. 60° =radians.or

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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.3: Modeling Data With Linear Functions

Problem 21E

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Refer to the Decimal-Inch Spur Gears Table under the heading "Gearing-Diametral Pitch System" earlier in this unit.The formula in terms of the unknown is not given. Choose the formula that consists of the given parts, rearrange in terms of the unknown, and solve.
Solve the following applied right triangle exercises. Compute linear values to 3 decimal places, customary unit angles to the nearer minute, and metric angles to the nearer hundredth degree. All dimensions are in millimeters. a. Determine A. a. Determine distance x.
Solve the following applied right triangle exercises. Compute linear values to 3 decimal places, customary unit angles to the nearer minute, and metric angles to the nearer hundredth degree. Determine y. All dimensions are in millimeters.
Three holes are bored in a checking gage. The lower left edge of the gage is the reference point for the hole locations. Sketch the hole locations and determine the missing distances. From the reference point: Hole #1 is 1332 to the right, and 158up. Hole #2 is 2164 to the right, and 2316up. Hole #3 is 314to the right, and 312up. Determine: a. The horizontal distance between hole #1 and hole #2. b. The horizontal distance between hole #2 and hole #3. c. The horizontal distance between hole #1 and hole #3. d. The vertical distance between hole #1 and hole #2. e. The vertical distance between hole #2 and hole #3. f. The vertical distance between hole #1 and hole #3.
A copper casting is in the shape of a prism with an equilateral triangle base. The length of each base side is 17.80 centimeters, and the casting height is 16.23 centimeters. Copper weighs 8.8 grams per cubic centimeter. Determine the weight of the casting in kilograms. One kilogram equals 1000 grams. Round the answer to 2 decimal places.
Solve the following applied right triangle exercises. Compute linear values to 3 decimal places, customary unit angles to the nearer minute, and metric angles to the nearer hundredth degree. All dimensions are in inches. a. Determine dimension c. b. Determine dimension d.
When the Radius Increases a. A rope is wrapped tightly around a wheel with radius of 2 feet. If the radius of the wheel is increased by 1 foot to a radius 3 feet, by how much must the rope be lengthened to fit around the wheel? b. Consider a rope wrapped around the Earths equator. We noted in Exercise 17 that the radius of the Earth is about 4000 miles. That is 21,120,000 feet. Suppose now that rope is to be suspended exactly 1 foot above the equator. By how much must the rope be lengthened to accomplish this? The Size of the Earth The radius of the Earth is approximately 4000 miles. a. How far is it around the equator? Hint: You are looking for the circumference of a circle b. What is the volume of the Earth? Hint: The volume of a sphere of radius r is given by 43r3. b. What is the surface area of the Earth? Hint: The surface area of a sphere of radius r is given by 4r2.
A spur gear is shown. Pitch circles of spur gears are the imaginary circles of meshing gears that make contact with each other. A pitch diameter is the diameter of a pitch circle. Circular pitch is the length of the arc measured on the pitch circle between the centers of two adjacent teeth. Determine the circular pitch of a spur gear that has 26 teeth and a pitch diameter of 4.1250 inches. Express the answer to 4 decimal places.

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3.2 Conversion between radians and degrees? Degrees to Radians: Radians to Degrees: a) 60° = b) 120° = c) 135° = d) 30º = e) 150° = f) 270° = g) 27° = h) 81° = 8° 8° = x( ) Try the next few of questions: a radians = ac