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Chapter 6: Q. 82 (page 365)

In the problem, Adenotes the area of the sector of a circle of radiusrformed by the central angle胃. Find the missing quantity. Round answers to three decimal places.

Short Answer

Expert verified

The required radius of the circle is6.93centimeters.

Step by step solution

01

Step 1. Given information

胃=14radian,A=6squarecentimeters,r=?

02

Step 2. Formula Used 

The area Aof the sector of a circle of radius rformed by the central angle of 胃radians is

A=12r2胃.

03

Step 3. Calculation

We have,

胃=14radianandA=6squarecentimeters

Now,

The Area Aof the sector is

A=12r2胃

鈬�6=12脳r2脳14

鈬�6=18r2

鈬�r2=48

鈬�r=48鈬�r鈮�6.93centimeters

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