What is a radian? Page | 25 and the small circle with your teacher, then follow the same th the larger circle with your partner. Small Radius a. Use the measuring device (paper strip, strìng, wire, etc.) to measure the length of the radius. b. Starting at 0°, use the length of the radius and make a mark on the circle that is the same length of the radius. c. Label this arclength "1 radian." d. From this point on the circle, continue marking radians all along the circumference of the circle. e. How many “radians" are in a semicircle? 3 and a litte mare f. How many "radians" are in a full circle? 6 and a a little more g. If the radius of the circle is considered to be 1 unit, what is the circumference of the circle with r = 1? (C = 2tr). %3D %3D %3D CこTU)= aTT=6i38 h. What would be the circumference of the semicircle?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.1: Angle Measure
Problem 1E: a The radian measure of an angle is the length of the __________ that subtends the angle in a...
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What is a radian?
Page | 25
and the small circle with your teacher, then follow the same
th the larger circle with your partner.
Small Radius
a. Use the measuring device (paper strip, strìng, wire, etc.)
to measure the length of the radius.
b. Starting at 0°, use the length of the radius and make a
mark on the circle that is the same length of the radius.
c. Label this arclength “1 radian."
d. From this point on the circle, continue marking radians
all along the circumference of the circle.
e. How many “radians" are in a semicircle?
3 and a litte mare
f. How many "radians" are in a full circle?
6 and a
a little more
g. If the radius of the circle is considered to be 1 unit, what
is the circumference of the circle with r = 1? (C = 2tr).
%3D
CこTU)= aT=6i28
h. What would be the circumference of the semicircle?
Transcribed Image Text:What is a radian? Page | 25 and the small circle with your teacher, then follow the same th the larger circle with your partner. Small Radius a. Use the measuring device (paper strip, strìng, wire, etc.) to measure the length of the radius. b. Starting at 0°, use the length of the radius and make a mark on the circle that is the same length of the radius. c. Label this arclength “1 radian." d. From this point on the circle, continue marking radians all along the circumference of the circle. e. How many “radians" are in a semicircle? 3 and a litte mare f. How many "radians" are in a full circle? 6 and a a little more g. If the radius of the circle is considered to be 1 unit, what is the circumference of the circle with r = 1? (C = 2tr). %3D CこTU)= aT=6i28 h. What would be the circumference of the semicircle?
T2 5円
Large Radius
a. Follow steps a - d above.
b. How many “radians" are in this semicircle?
c. How many “radians" are in this full circle?
d. Did the different length of the radius change
the radian measures? Why or why not?
nelber
Transcribed Image Text:T2 5円 Large Radius a. Follow steps a - d above. b. How many “radians" are in this semicircle? c. How many “radians" are in this full circle? d. Did the different length of the radius change the radian measures? Why or why not? nelber
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