Middle School

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II. Using Radians to Measure Arcs and Angles

A. Convert each radian measure to degrees

2."

4. 18

B. Convert each degree measure to radians

1. 100°

3. 30°

5. 10

C. Determine each arc length

Carnegie Learning, Inc.

1. The radius of a circle is 1 centimeter. What is

the length of an arc intercepted by an angle

of radians?

2. The radius of a circle is 4 inches. What is

the length of an arc intercepted by an angle

of radians?

4 in.

1 cm

II Using Radians to Measure Arcs and Angles A Convert each radian measure to degrees 2 4 18 B Convert each degree measure to radians

Answer :

Pi radians is 180 degrees.
A
1) 180/3=60
2) 270
3) 45
4) 3240
B
1) 100/180=5/9
3) 30/180=3/18
5) 1/180
C
1) (pi) cm
2) 2pi

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