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Chapter 6: Q. 83 (page 365)

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

Short Answer

Expert verified

The required central angle胃is localid="1647403790026" 0.24radian.

Step by step solution

01

Step 1. Given information

r=5miles,A=3squaremilesand胃=?

02

Step 2. Formula Used 

The Area Aof the sector of a circle of radius rformed by the central angle of 胃radian is

A=12r2胃.

03

Step 3. Calculation

We have,

r=5milesaandA=3squaremiles

Now,

The area Aof a sector is

A=12r2胃

鈬�3=12脳52脳胃

localid="1647403762702" 鈬�3=252胃

localid="1647403745535" 鈬�胃=0.24radian

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