Tablecloth Border Length

For a round table with a diameter of 75 cm, you need to sew a tablecloth that should extend 10 cm around the table. A 1.5 cm slat is added to the border. How many square meters of lath do we need for this table?

Final Answer:

x =  0.7543 m²

Step-by-step explanation:

$$\begin{gathered} D=75\text{cm}\to \text{m}=75:100\text{m}=0.75\text{m} \\ r=D/2=0.75/2=\frac{3}{8}=0.375\text{m} \\ a=10\text{cm}\to \text{m}=10:100\text{m}=0.1\text{m} \\ b=1.5\text{cm}\to \text{m}=1.5:100\text{m}=0.015\text{m} \\ {r}_2=r+a+b=0.375+0.1+0.015=\frac{49}{100}=0.49\text{m} \\ x=\pi \cdot r_2^2=3.1416\cdot 0.49^2=0.7543{\text{m}}^2 \end{gathered}$$

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