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finlep [7]
2 years ago
12

Find the diameter of a circle whose circumference is 77​

Mathematics
1 answer:
rusak2 [61]2 years ago
8 0

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

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

{:\implies \quad \sf d\times \dfrac{22}{7}=77}

{:\implies \quad \sf d=\dfrac{77\times 7}{22}}

{:\implies \quad \sf d=\dfrac{\cancel{11}\times 7\times 7}{\cancel{11}\times 2}}

{:\implies \quad \sf d=\dfrac{49}{2}}

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

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