a chord of a circle of radius 30cm makes an angle of 60 degree at the centre of the circle.find the area of the minor and major sector. pie 3.14 & root 3 1.732

Asked by abhiram | 16th Feb, 2014, 06:54: PM

Expert Answer:

Dear Student,
 
Soln: 
 
 
 
As the angle made by radii is 60o, so this is an equilateral triangle.
Because angles opposite to both radii will be equal.
 
So aree of triangle =fraction numerator square root of 3 over denominator 4 end fraction a squared=fraction numerator square root of 3 over denominator 4 end fractionx900=389.7
Now, Area of circle=900straight pi=2826
Area of minor sector=1 over 6x900straight pi=471
 
Area of minor segment=471-389.7=81.3 cm2
 
Area of major segment=2826-81.3=2744.7 sq2
 
 
 
 
 
 
Thanks and Regards
Toppers Team

Answered by  | 17th Feb, 2014, 11:34: AM

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