Supplementary Problems 3.1 1. How many degrees is 1! of a complete revolution? 2. How many radians is of a complete revolution? 3. What is the length of an are of a circle with radius 4 cm that subtends a central angle of 216°? 4. Find the length of an arc of a circle with radius cm that subtends a central angle of 99°.

Trigonometry (MindTap Course List)
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Chapter3: Radian Measure
Section3.3: Definition Iii: Circular Functions
Problem 104PS: The diagram of the unit circle shown in Figure 15 can be found on the Internet encyclopedia,...
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Supplementary Problems 3.1
1. How many degrees is 1 of a complete revolution?
2. How many radians is of a complete revolution?
3. What is the length of an arc of a circle with radius 4 cm that subtends a
central angle of 216°?
4. Find the length of an arc of a circle with radius
angle of 99°.
cm that subtends a central
5. What is the smallest positive angle coterminal with 2110°?
6. Find the largest negative angle coterminal with 107
6.
7. Find the area of a sector of a circle with central angle of if the diameter of
the circle is 9 cm.
8. Find the area of a sector of a circle with central angle of 108° if the radius of
the circle is 15 cm.
9. What is the radius of a circle in which a central angle of 150° determines a
sector of area 15 in2?
10. Find the radius of a circle in which a central angle of S determines a sector
of area 32 in?.
*11. A central angle of a circle of radius 6 inches is subtended by an arc of length 6
inches. What is the central angle in degrees (rounded to two decimal places)?
*12. An arc of length cm subtends a central angle 0 of a circle with radius ?
What is 0 in degrees?
cm.
Transcribed Image Text:Supplementary Problems 3.1 1. How many degrees is 1 of a complete revolution? 2. How many radians is of a complete revolution? 3. What is the length of an arc of a circle with radius 4 cm that subtends a central angle of 216°? 4. Find the length of an arc of a circle with radius angle of 99°. cm that subtends a central 5. What is the smallest positive angle coterminal with 2110°? 6. Find the largest negative angle coterminal with 107 6. 7. Find the area of a sector of a circle with central angle of if the diameter of the circle is 9 cm. 8. Find the area of a sector of a circle with central angle of 108° if the radius of the circle is 15 cm. 9. What is the radius of a circle in which a central angle of 150° determines a sector of area 15 in2? 10. Find the radius of a circle in which a central angle of S determines a sector of area 32 in?. *11. A central angle of a circle of radius 6 inches is subtended by an arc of length 6 inches. What is the central angle in degrees (rounded to two decimal places)? *12. An arc of length cm subtends a central angle 0 of a circle with radius ? What is 0 in degrees? cm.
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