Skyler solved an equation incorrectly, as shown below:
2 answers:
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The circumference of a circle can be found using the equation: c = 2<span>πr, where c=circumference and r=radius.
The radius of the circle is also equal to half the diameter: r = </span>
, where r=radius and d=diameter.
Plug the equation for the radius of the circle into the equation for the circumference of the circle and simplify to get an equation that relates circumference and diameter:
Now solve that equation for π (aka isolate π) to get the ratio of the circumference to the diameter:
You know that the diameter,
, so plug that into your ratio to get your answer. Remember that dividing by a fraction is equal to multiplying by the inverse of that fraction (aka the fraction flipped):
Your answer is B) <span>3C/2 = π. </span>
The radius of the circle is also equal to half the diameter: r = </span>
Plug the equation for the radius of the circle into the equation for the circumference of the circle and simplify to get an equation that relates circumference and diameter:
Now solve that equation for π (aka isolate π) to get the ratio of the circumference to the diameter:
You know that the diameter,
Your answer is B) <span>3C/2 = π. </span>