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Question Number 205734 by mr W last updated on 28/Mar/24

Answered by A5T last updated on 28/Mar/24

Commented by A5T last updated on 28/Mar/24

$$\frac{48\times 144\times 13}{4R}=\frac{48\times 36}{2}\Rightarrow R=26$$

Answered by cortano12 last updated on 29/Mar/24

$$\Rightarrow x.36=24.24$$$$\Rightarrow x=\frac{576}{36}=16$$$$\Rightarrow \underbrace{\mathit{O}}$$

Answered by som(math1967) last updated on 29/Mar/24

Commented by som(math1967) last updated on 29/Mar/24

$$tan\theta =\frac{24}{36}=\frac{2}{3}$$$$tan2\theta =\frac{2\times \frac{2}{3}}{1-\frac{4}{9}}=\frac{4}{3}\times \frac{9}{5}=\frac{12}{5}$$$$\frac{24}{x}=\frac{12}{5}\Rightarrow x=10$$$$R=36-10=26$$

Answered by BaliramKumar last updated on 29/Mar/24

$$(2\mathrm{r}-36)36=24\times 24$$$$(\mathrm{r}-18)36=12\times 24$$$$\mathrm{r}-18=8$$$$\mathrm{r}=26$$

Answered by MM42 last updated on 29/Mar/24

$${(36-r)}^2+{24}^2=r^2$$$$1296+r^2-72r+576=r^2$$$$72r=1872$$$$\Rightarrow r=26$$

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