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Chapter 6: Q. 76 (page 365)

In the problem, sdenotes the length of the arc of a circle of radius r subtended by the central angle 胃Find the missing quantity. Round answers to three decimal places.

r=6 meters, s=8meters, 胃=?

Short Answer

Expert verified

The required central angle胃=1.33radians

Step by step solution

01

Step 1. Given information

r=6meters,s=8meters,胃=?

02

Step 2. Formula Used

For a circle of a radius r, a central angle of 胃radians subtends an arc whose length sis

s=r胃

03

Step 3. Calculation

We have,

r=6metersands=8meters

Now,

The length s of the arc is

s=r胃鈬�胃=sr

鈬�胃=86鈬�胃=1.33radians

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Most popular questions from this chapter

Discuss why ships and airplanes use nautical miles to measure distance. Explain the difference between a nautical mile and a statute mile.

Convert each angle in degrees to radians. Express your answer as a multiple of 蟺.

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An angle 胃is in ________ _________ if its vertex is at the origin of a rectangular coordinate system and its initial side coincides with the positive x-axis.

Find the exact value of each expression. Do not use a calculator.

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