[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required equation is ~
[tex] \boxed{ \frac{360}{100\pi} = \frac{36}{s} }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Area of a sector is ~
- [tex]s = \dfrac{ \theta}{360 \degree} \times \pi {r}^{2} [/tex]
that is ~
- [tex]s = \dfrac{36 \degree}{360 \degree} \times \pi \times 10 \times 10[/tex]
- [tex] \dfrac{s}{36} = \dfrac{100\pi}{360} [/tex]
- [tex] \dfrac{36}{s} = \dfrac{360}{100\pi} [/tex]
