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Area of Circle

If C1 and ...

Question

If $C_{1}$ and $C_{2}$ are incircle and excircle respectively of $a △$ whose sides are $3 c m, 4 c m, 5 c m$ , then find the $\frac{arg o f C_{1}}{arg o f C_{2}}$

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Solution

not arg but it is area
$s = \frac{a + b + c}{2} = \frac{3 + 4 + 5}{2} = 6$
$\frac{a r e a o f C 1}{a r e a o f C 2} = \frac{π r^{2}}{π r_{1}^{2}} = (\frac{r}{r_{1}})^{2} = (\frac{s - a}{s})^{2} = (1 - \frac{a}{s})^{2} = (1 - \frac{1}{2})^{2} = \frac{1}{4}$

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