Circle and rectangle

A rectangle with sides of 11.7 cm and 175 mm is described by circle. What is its length? Calculate the content area of the circle described by this circle.

Result

x =  66.133 cm
S =  348.041 cm2

Solution:

a=11.7 cm b=175/10=352=17.5 cm u=a2+b2=11.72+17.52≐21.0509 cm r=u/2=21.0509/2≐10.5254 cm x=2π⋅ r=2⋅ 3.1416⋅ 10.5254≐66.1333=66.133  cm a = 11.7 \ cm \ \\ b = 175/10 = \dfrac{ 35 }{ 2 } = 17.5 \ cm \ \\ u = \sqrt{ a^2+b^2 } = \sqrt{ 11.7^2+17.5^2 } \doteq 21.0509 \ cm \ \\ r = u/2 = 21.0509/2 \doteq 10.5254 \ cm \ \\ x = 2 \pi \cdot \ r = 2 \cdot \ 3.1416 \cdot \ 10.5254 \doteq 66.1333 = 66.133 \ \text{ cm }
S=π⋅ r2=3.1416⋅ 10.52542≐348.0413=348.041 cm2S = \pi \cdot \ r^2 = 3.1416 \cdot \ 10.5254^2 \doteq 348.0413 = 348.041 \ cm^2

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