Problem 1SP: Convert 1311233 to decimal degrees. Round to 4 decimal places. Problem 2SP: Convert 26.48 to degree, minute, second form. Problem 3SP: Convert from degrees to radians. a. 300 b. 70 Problem 4SP: Convert from radians to degrees. a. 18 b. 74 Problem 5SP: Find an angle coterminal to between 0 and 360 . a.=1230b.=315 Problem 6SP: Find an angle coterminal to on the interval [0,2) . a. =8 b. =194 Problem 7SP: Find the length of the arc made by an angle of 220 on a circle of radius 9 in. Problem 8SP: Lincoln, Nebraska, is located at 40.8N,96.7W and Dallas, Texas, is located at32.8N,96.7W . Since the... Problem 9SP: A bicycle wheel rotates at 2 revolutions per second. a. Find the angular speed. b. How fast does the... Problem 10SP: A sprinkler rotates through an angle of 120 and sprays water a distance of 30 ft. Find the amount of... Problem 1PE Problem 2PE: An angle with its vertex at the origin of an xy-coordinate plane and with initial side on the... Problem 3PE: Two common units used to measure angles are and . Problem 4PE: One degree is what fractional amount of a full rotation? Problem 5PE: An angle that measures 360 has a measure of radians. Problem 6PE: Two angles are called if the sum of their measures is 90 . Two angles are called if the sum of... Problem 7PE: An angle with measure or radians is a right angle. A straight angle has a measure of or... Problem 8PE: A(n) angle has a measure between 0 and 90 . whereas a(n) angle has a measure between 90 and180 . Problem 9PE: One degree is equally divided into 60 parts called . Problem 10PE: One minute is equally divided into 60 parts called . Problem 11PE: 1='=' Problem 12PE: An angle with its vertex at the center of a circle is called an angle. Problem 13PE: A central angle of a circle that intercepts an arc equal in length to the radius of the circle has a... Problem 14PE: Which angle has a greater measure, 2 or 2 radians? Problem 15PE: To convert from radians to degrees, multiply by To convert from degrees to radians, multiply by . Problem 16PE: Two angles are if they have the same initial side and same terminal side. Problem 17PE: The measure of all angles coterminal to 74 differ from 74 by a multiple of . Problem 18PE: The measure of all angles coterminal to 112 differ from 112 by a multiple of . Problem 19PE: The length s of an arc made by an angle on a circle of radius r is given by the formula , where ... Problem 20PE: To locate points on the surface of the Earth that are north or south of the equator, we measure the ... Problem 21PE: The relationship v=arclengthtime represents the speed of a point traveling in a circular path. Problem 22PE: The symbol is typically used to denote speed and represents the number of radians per unit time... Problem 23PE: A wedge of a circle, similar in shape to a slice of pie, is called an of the circle. Problem 24PE: The area A of a sector of a circle of radius r with central angle is given by the formula , where ... Problem 25PE: For Exercises 25-26, sketch the angles in standard position. a. 60 b. 225 c. 210 d. 86 Problem 26PE: For Exercises 25-26, sketch the angles in standard position. a. 30 b. 120 c. 135 d. 73 Problem 27PE: For Exercises 27-30, convert the given angle to decimal degrees. Round to 4 decimal places. (see... Problem 28PE: For Exercises 27-30, convert the given angle to decimal degrees. Round to 4 decimal places. (See... Problem 29PE: For Exercises 27-30, convert the given angle to decimal degrees. Round to 4 decimal places. (See... Problem 30PE: For Exercises 27-30, convert the given angle to decimal degrees. Round to 4 decimal places. (See... Problem 31PE: For Exercises 31-34, convert the given angle to DMS (degree-minute-second) form. Round to the... Problem 32PE: For Exercises 31-34, convert the given angle to DMS (degree-minute-second) form. Round to the... Problem 33PE: For Exercises 31-34, convert the given angle to DMS (degree-minute-second) form. Round to the... Problem 34PE: For Exercises 31-34, convert the given angle to DMS (degree-minute-second) form. Round to the... Problem 35PE Problem 36PE Problem 37PE: For Exercises 37-40, convert from degrees to radians. Give the answers in exact form in terms of .... Problem 38PE Problem 39PE Problem 40PE: For Exercises 37-40, convert from degrees to radians. Give the answers in exact form in terms of .... Problem 41PE Problem 42PE Problem 43PE: For Exercises 41-44, convert from degrees to radians. Round to 4 decimal places. 12636 Problem 44PE: For Exercises 41-44, convert from degrees to radians. Round to 4 decimal places. 180429 Problem 45PE: For Exercises 45-56, convert from radians to decimal degrees. Round to 1 decimal place if necessary.... Problem 46PE: For Exercises 45-56, convert from radians to decimal degrees. Round to 1 decimal place if necessary.... Problem 47PE Problem 48PE: For Exercises 45-56, convert from radians to decimal degrees. Round to 1 decimal place if necessary.... Problem 49PE Problem 50PE Problem 51PE: For Exercises 45-56, convert from radians to decimal degrees. Round to 1 decimal place if necessary.... Problem 52PE Problem 53PE Problem 54PE: For Exercises 45-56, convert from radians to decimal degrees. Round to 1 decimal place if necessary.... Problem 55PE: For Exercises 45-56, convert from radians to decimal degrees. Round to 1 decimal place if necessary.... Problem 56PE: For Exercises 45-56, convert from radians to decimal degrees. Round to 1 decimal place if necessary.... Problem 57PE Problem 58PE: For Exercises 57-64, find a positive angle and a negative angle that is coterminal to the given... Problem 59PE: For Exercises 57-64, find a positive angle and a negative angle that is coterminal to the given... Problem 60PE: For Exercises 57-64, find a positive angle and a negative angle that is coterminal to the given... Problem 61PE: For Exercises 57-64, find a positive angle and a negative angle that is coterminal to the given... Problem 62PE: For Exercises 57-64, find a positive angle and a negative angle that is coterminal to the given... Problem 63PE Problem 64PE: For Exercises 57-64, find a positive angle and a negative angle that is coterminal to the given... Problem 65PE: For Exercises 65-70, find an angle between 0 and 360 or between 0 and 2 that is coterminal to the... Problem 66PE: For Exercises 65-70, find an angle between 0 and 360 or between 0 and 2 that is coterminal to the... Problem 67PE: For Exercises 65-70, find an angle between 0 and 360 or between 0 and 2 that is coterminal to the... Problem 68PE: For Exercises 65-70, find an angle between 0 and 360 or between 0 and 2 that is coterminal to the... Problem 69PE: For Exercises 65-70, find an angle between 0 and 360 or between 0 and 2 that is coterminal to the... Problem 70PE: For Exercises 65-70, find an angle between 0 and 360 or between 0 and 2 that is coterminal to the... Problem 71PE Problem 72PE: For Exercises 71-74, find the exact length of the arc intercepted by a central angle on a circle of... Problem 73PE Problem 74PE: For Exercises 71-74, find the exact length of the arc intercepted by a central angle on a circle of... Problem 75PE: A 6-ft pendulum swings through an angle of 4036 . What is the length of the arc that the tip of the... Problem 76PE: A gear with a 1.2-cm radius moves through an angle of 22015 . What distance does a point on the edge... Problem 78PE: a. What is the geographical relationship between two points that have the same latitude? b. What is... Problem 79PE: For Exercises 79-82, assume that the Earth is approximately spherical with radius 3960mi .... Problem 80PE: For Exercises 79-82, assume that the Earth is approximately spherical with radius 3960mi .... Problem 81PE: For Exercises 79-82, assume that the Earth is approximately spherical with radius 3960mi .... Problem 82PE: For Exercises 79-82, assume that the Earth is approximately spherical with radius 3960mi .... Problem 83PE: A pulley is 16cm in diameter. a. Find the distance the load will rise if the pulley is rotated 1350... Problem 84PE: A pulley is 1.2ft. in diameter. a. Find the distance the load will rise if the pulley is rotated 630... Problem 85PE: A hoist is used to lift a palette of bricks. The drum on the hoist is 15in. in diameter. How many... Problem 86PE: A winch on a sailboat is 8in. in diameter and is used to pull in the "sheets" (ropes used to control... Problem 87PE: A surveyor uses a subtense bar to find the distance across a river. If the angle of sight between... Problem 88PE: A surveyor uses a subtense bar to find the distance across a canyon. If the angle of sight between... Problem 89PE: A circular paddle wheel of radius 3ft is lowered into a flowing river. The current causes the wheel... Problem 90PE: An energy-efficient hard drive has a 2.5-in . diameter and spins at 4200rpm . a. What is the angular... Problem 91PE: A 714-in.-diameter circular saw has 24 teeth and spins at 5800rpm . a. What is the angular speed? b.... Problem 92PE: On a weed-cutting device, a thick nylon line rotates on a spindle at 3000rpm . a. Determine the... Problem 93PE: A truck has 2.5-ft tires (in diameter). a. What distance will the truck travel with one rotation of... Problem 94PE: A bicycle has 25-in . wheels (in diameter). a. What distance will the bicycle travel with one... Problem 95PE Problem 96PE: For Exercises 95-98, find the exact area of the sector. Then round the result to the nearest tenth... Problem 97PE Problem 98PE: For Exercises 95-98, find the exact area of the sector. Then round the result to the nearest tenth... Problem 99PE: A slice of a circular pizza 12in .in diameter is cut into a wedge with a 45 angle. Find the area and... Problem 100PE: A circular cheesecake 9in. in diameter is cut into a slice with a 20 angle. Find the area and round... Problem 101PE: The back wiper blade on an SUV extends 3in. from the pivot point to a distance of 17in. from the... Problem 102PE: A robotic arm rotates through an angle of 160 . It sprays paint between a distance of 0.5 ft and 3... Problem 103PE Problem 104PE Problem 105PE Problem 106PE Problem 107PE Problem 108PE Problem 109PE: The second hand of a clock moves from 12:10 to 12:30 . a. How many degrees does it move during this... Problem 110PE: The minute hand of a clock moves from 12:10 to 12:15 . a. How many degrees does it move during this... Problem 111PE: The Earth's orbit around the Sun is elliptical (oval shaped). However, the elongation is small, and... Problem 112PE: The Earth completes one full rotation around its axis (poles) each day. a. Determine the angular... Problem 113PE: Two gears are calibrated so that the smaller gear drives the larger gear. For each rotation of the... Problem 114PE: Two gears are calibrated so that the larger gear drives the smaller gear. The larger gear has a 6-in... Problem 115PE: A spinning-disc confocal microscope contains a rotating disk with multiple small holes arranged in a... Problem 116PE: For Exercises 116-119, approximate the area of the shaded region to 1 decimal place. In the figure,... Problem 117PE: For Exercises 116-119, approximate the area of the shaded region to 1 decimal place. In the figure,... Problem 118PE: For Exercises 116-119, approximate the area of the shaded region to 1 decimal place. In the figure,... Problem 119PE: For Exercises 116-119, approximate the area of the shaded region to 1 decimal place. In the figure,... Problem 120PE: Explain what is meant by 1 radian. Explain what is meant by 1 . Problem 121PE: For an angle drawn in standard position, explain how to determine in which quadrant the terminal... Problem 122PE: As the fan rotates (see figure), which point A or B has a greater angular speed? Which point has a... Problem 123PE: If an angle of a sector is held constant, but the radius is doubled, how will the arc length of the... Problem 124PE: If an angle of a sector is doubled, but the radius is held constant, how will the arc length of the... Problem 125PE: When a person pedals a bicycle, the front sprocket moves a chain that drives the back wheel and... Problem 126PE: In the third century B.C. , the Greek astronomer Eratosthenes approximated the Earth's... Problem 127PE: The space shuttle program involved 135 manned space flights in 30yr . In addition to supplying and... Problem 128PE Problem 129PE Problem 130PE Problem 131PE Problem 132PE Problem 133PE Problem 134PE format_list_bulleted
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