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Chapter 6: Q. 94 (page 366)

Find the area of the sector of a circle of radius 3centimeters formed by an angle of 60鈭�. Round the answer to two decimal places.

Short Answer

Expert verified

The area of the sector is4.71cm2

Step by step solution

01

Step 1. Given information

A circle with radius 3cm makes an area with the angle60鈭�

02

Step 2. Used formulae 

The area of a circle with radiusrand angle胃isA=12r2胃

03

Step 3. Calculation

60鈭�=60路蟺180=蟺3radians

For the given problem, we substitute and the area is obtained asA=12路32路蟺3=3蟺2鈮�4.7124cm2

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