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:

$D=5.5 \ \\ a=130/100=\dfrac{ 13 }{ 10 }=1.3 \ \\ r=D/2=5.5/2=\dfrac{ 11 }{ 4 }=2.75 \ \\ S_{1}=\pi \cdot \ r^2=3.1416 \cdot \ 2.75^2 \doteq 23.7583 \ \\ S_{2}=\pi \cdot \ (r+a)^2=3.1416 \cdot \ (2.75+1.3)^2 \doteq 51.53 \ \\ S=S_{2}-S_{1}=51.53-23.7583=27.772 \ \text{m}^2$

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