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Chapter 6: Q. 86 (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 area of sector is9.41squaremeters.

Step by step solution

01

Step 1. Given information

r=3meters,胃=120掳,A=?

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=3metersand胃=120掳=2.09radian

Now,

The area Aof a sector is

A=12r2胃

A=12脳32脳2.09

A鈮�9.41squaremeters

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