Question-212690

Question Number 212690 by Spillover last updated on 21/Oct/24

Answered by mr W last updated on 21/Oct/24

10×(2n)=(2(√(15)))^2 ⇒n=3 ⇒R=n+((10)/2)=8 painted area =π(R^2 −n^2 )=55π

$$\mathrm{10}×\left(\mathrm{2}{n}\right)=\left(\mathrm{2}\sqrt{\mathrm{15}}\right)^{\mathrm{2}} \\ $$$$\Rightarrow{n}=\mathrm{3} \\ $$$$\Rightarrow{R}={n}+\frac{\mathrm{10}}{\mathrm{2}}=\mathrm{8} \\ $$$${painted}\:{area}\:=\pi\left({R}^{\mathrm{2}} −{n}^{\mathrm{2}} \right)=\mathrm{55}\pi \\ $$

Commented by TonyCWX08 last updated on 21/Oct/24