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cricket20 [7]
2 years ago
14

Which letter is the correct answer and why

Mathematics
1 answer:
Julli [10]2 years ago
3 0

Answer:

<h2><em><u>Option</u></em><em><u> </u></em><em><u>C</u></em></h2>

Step-by-step explanation:

<em><u>Here</u></em><em><u>,</u></em>

<em>[</em><em>Taking</em><em> </em><em>'</em><em>A'</em><em> </em><em>=</em><em> </em><em>'</em><em>a'</em><em>]</em>

a \:  =  \: 4\pi {r}^{2}

<em><u>Then</u></em><em><u> </u></em><em><u>for</u></em><em><u> </u></em><em><u>'</u></em><em><u>r</u></em><em><u>'</u></em><em><u>,</u></em>

=  > 4\pi {r}^{2}  = a

=  >  {r}^{2}  =  \frac{a}{4\pi}

=  > r =   \sqrt{\frac{a}{4\pi} }

=  > r =  \frac{1}{2}\sqrt{  \frac{a}{\pi} }

<em><u>Hence</u></em><em><u>,</u></em>

<em><u>Option</u></em><em><u> </u></em><em><u>C</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>correct</u></em><em><u> </u></em><em><u>.</u></em>

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