Tower

How many m² of the copper plate should be replaced on the roof of the tower conical shape with diameter 24 m, and the angle at the axial section's vertex is 144°?

Correct answer:

S =  476 m²

Step-by-step explanation:

$$\begin{gathered} r=24\mathrm{/}2=12m \\ s=r\mathrm{/}\sin (144^{\circ }\mathrm{/}2)=12.62m \\ S=\pi rs=\pi \cdot 12\cdot 12.62=476{\text{m}}^2 \end{gathered}$$

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