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CBSE Class 10 Answered

the following fig shows a sector of a circle of radius r cm containg an  angle theta. .the area of sector is A cm² and the perimeter of the sector is 50 cm .prove that i) 360/pie (25/r - 1) ii) A=25r - r²
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Asked by CHIDAMBAR | 12 Dec, 2018, 11:00: AM
answered-by-expert Expert Answer
It is mentioned in the givenh question " prove that 360/pie(25r-1) ". No one can understand what is to be proved .
Also area expressed as answer also not correct.
 
Perimeter p = begin mathsize 12px style equals space fraction numerator theta over denominator 2 pi end fraction 2 pi r space equals space theta r space equals space 50 space c m end style or θ = 50/r ..................(1)
Area A = begin mathsize 12px style A space equals space fraction numerator theta over denominator 2 pi end fraction pi r squared space equals space fraction numerator 50 over denominator 2 r end fraction r squared space equals space 25 r end style  .............................(2)
In eqn.(2), θ is substituted using eqn.(1)
Answered by Thiyagarajan K | 12 Dec, 2018, 03:35: PM

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