SOLUTION: The ratio of the area to the circumference of a circle is 5/4. What is the circumference of the circle?

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: The ratio of the area to the circumference of a circle is 5/4. What is the circumference of the circle?      Log On


   



Question 1134193: The ratio of the area to the circumference of a circle is 5/4. What is the circumference of the circle?
Answer by MathLover1(20850) About Me  (Show Source):
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The ratio of the area to the circumference of a circle is 5%2F4.
the area is r%5E2%2Api
the circumference 2r%2Api
=> %28r%5E2%2Api%29%2F%282r%2Api%29=5%2F4
%28r%5Ecross%282%29%2Across%28pi%29%29%2F%282%2Across%28r%29%2Across%28pi%29%29=5%2F4
r%2F2=5%2F4
r=2%285%2F4%29
r=cross%282%29%285%2Fcross%284%292%29
r=5%2F2

=> the circumference 2r%2Api=2%285%2F2%29pi=5pi