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Area of a Segment

Find the area of the segment of a circle whose radius is 6 inches formed by a central angle of 50°.

Short Answer

Expert verified

The area of the segment of a circle is A=15.71inche2

Step by step solution

01

Step 1.  Given information     

The given data from the question isradius=6inchesCenterangle=50

02

Step 2.Find the area of the circle

The area of the circle is given by A=Ï€°ù2

Now the area of the segment of the given circle having a center angle 50islocalid="1647241758060" role="math" A=θ360πr2=50360×227×62=5×227=15.71inch2

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