Described

Calculate perimeter of the circle described by a triangle with sides 478, 255, 352.

Result

p =  1539.5

Solution:

 s=a+b+c2=478+255+3522=542.5 r=abc4S=abc4s(s−a)(s−b)(s−c)=245.02 p=2πr=1539.5 \ \\ s = \dfrac{ a + b + c }{2} = \dfrac{ 478 + 255 + 352 }{2} = 542.5 \ \\ r = \dfrac{ abc }{4 S } = \dfrac{ abc }{4 \sqrt{ s(s-a)(s-b)(s-c)} } = 245.02 \ \\ p = 2 \pi r = 1539.5

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