Rectangle - desc circle

The length of the sides of the rectangle is at a ratio of 1:3. The circle's radius circumscribed to the rectangle is 10 cm. Calculate the rectangle's perimeter.

Correct answer:

p =  50.6 cm

Step-by-step explanation:

a:b=1:3 r=10 cm  3a=b (2r)2 = a2 +b2 (2r)2 = a2 +(3a)2 4r2 = 10 a2 a=4/10 r=4/10 10=2 10 cm6.3246 cm b=3 a=3 6.3246=6 10 cm18.9737 cm  p=2 (a+b)=2 (6.3246+18.9737)=16 1050.5964 cm   Verifying Solution:  k=a/b=6.3246/18.9737=310.3333 d=a2+b2=6.32462+18.97372=20 cm



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