# The terrace

Around the round pool with a diameter of 5.5 meters is a wooden terrace with a width of 130 cm. What is the area of the terrace?

Correct result:

S =  27.772 m2

#### Solution:

$D=5.5 \ \\ a=130/100=\dfrac{ 13 }{ 10 }=1.3 \ \\ r=D/2=5.5/2=\dfrac{ 11 }{ 4 }=2.75 \ \\ S_{1}=\pi \cdot \ r^2=3.1416 \cdot \ 2.75^2 \doteq 23.7583 \ \\ S_{2}=\pi \cdot \ (r+a)^2=3.1416 \cdot \ (2.75+1.3)^2 \doteq 51.53 \ \\ S=S_{2}-S_{1}=51.53-23.7583=27.772 \ \text{m}^2$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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