Radian Measure Introduction

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Convert -18° to radians.

-pi/10 radians

Use the formula for radian measure to calculate the measure of a central angle in a circle having a radius of 12 cm and intercepting an arc of 21 cm. es001-1.jpg The angle has a measure of ______ radians.

1.75

How long is the arc intersected by a 2 pi/3 radian central angle in a circle with radius 7 feet?

14 pi/3 feet

You board a Ferris wheel at ground level and travel to the very top, when it stops to allow more riders to get on. How many degrees has the Ferris wheel rotated?

180

Use the circle. <135 r=9 What is the radian measure for the angle to the nearest hundredth? Use 3.14 for pi.

2.36 radian

Given a radius of 9 inches, estimate the length of arc s to the nearest hundredth.

21.24 inches

To the nearest foot, what is the radius of the Ferris wheel if you traveled 157 feet?

50 feet

Convert 1 radian to degrees. Round your answer to the nearest degree.

57

Convert 3 pi/8 radians to degrees.

67.5

What is the radian equivalent for 180°?

pi radians


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