Percentage 23631

In the shape of a rectangle, the city park, measuring 125 x 12 m, has a circular fountain with a diameter of 10 m. What percentage of this fountain represents the total area of ​​the park?

Correct answer:

p =  5.236 %

Step-by-step explanation:

$$\begin{gathered} a=125\text{m} \\ b=12\text{m} \\ D=10\text{m} \\ r=D/2=10/2=5\text{m} \\ {S}_1=a\cdot b=125\cdot 12=1500{\text{m}}^2 \\ {S}_2=\pi \cdot r^2=3.1416\cdot 5^2\doteq 78.5398{\text{m}}^2 \\ p=100\cdot \frac{S_2}{S_1}=100\cdot \frac{78.5398}{1500}=5.236\% \end{gathered}$$

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