Everywhere 36403

We cut out the largest possible round tablecloth from a square fabric of 150x150 cm. After setting, it hung around 20 cm everywhere. What is the area of ​​the round tabletop?

Correct answer:

S =  9503.3178 cm²

Step-by-step explanation:

$$\begin{gathered} a=150\text{cm} \\ r=a/2=150/2=75\text{cm} \\ p=20\text{cm} \\ {r}_1=r-p=75-20=55\text{cm} \\ S=\pi \cdot r_1^2=3.1416\cdot 55^2=9503.3178{\text{cm}}^2 \end{gathered}$$

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