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21 votes
21 votes
Find the diameter of a circle whose circumference is 77​

User ShamPooSham
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1 Answer

25 votes
25 votes

We are given that the circumference of a circle is 77 units and we need to find it's diameter . But let's recall that for any Circle with radius r , the circumference is given by 2πr . And diameter is double of radius i.e d = 2r , so we can write the circumference as 2r(π) i.e . So , now here


{:\implies \quad \sf d\pi =77}


{:\implies \quad \sf d* (22)/(7)=77}


{:\implies \quad \sf d=(77* 7)/(22)}


{:\implies \quad \sf d=\frac{\cancel{11}* 7* 7}{\cancel{11}* 2}}


{:\implies \quad \sf d=(49)/(2)}


{:\implies \quad \bf \therefore \quad \underline{\underline{Diameter=24.5\:\: units}}}

User Krivoblotsky
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