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Question Number 204310 by BaliramKumar last updated on 12/Feb/24

Answered by mr W last updated on 12/Feb/24

Commented by mr W last updated on 12/Feb/24

$$R=\frac{3}{2}$$$$OT=5$$$$OA=\sqrt{5^2-{\left(\frac{3}{2}\right)}^2}=\frac{\sqrt{91}}{2}$$$$\frac{r}{R}=\frac{OA}{OT}$$$$\Rightarrow r=\frac{\sqrt{91}}{2\times 5}\times \frac{3}{2}=\frac{3\sqrt{91}}{20}$$$$h=R-\sqrt{R^2-r^2}=\frac{3}{2}-\sqrt{{\left(\frac{3}{2}\right)}^2-{\left(\frac{3\sqrt{91}}{20}\right)}^2}=\frac{21}{20}$$$$A_{cap}=2\pi Rh=2\pi \times \frac{3}{2}\times \frac{21}{20}=\frac{63\pi }{20}✓$$

Commented by mr W last updated on 12/Feb/24

Commented by BaliramKumar last updated on 12/Feb/24

$$\mathrm{thanks}$$🙏🙏🙏🙏🙏

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