Question

the formula ( c=pi d ) is used to find the circumference, ( c ), of a circle with a diameter of ( d ). solve the equation for ( d ). what operation will isolate ( d )? multiply both sides by ( pi ). divide both sides by ( pi ). multiply both sides by ( c ). divide both sides by ( c ). the formula ( c=pi d ) is used to find the circumference, ( c ), of a circle with a diameter of ( d ). solve the equation for ( d ). enter the response in the box. ( d=\frac{square}{square} )

Explanation:

Step1: Isolate \(d\)

Given the equation \(C = \pi d\). To isolate \(d\), we need to perform the inverse operation of multiplication (since \(\pi\) and \(d\) are multiplied). The inverse of multiplying by \(\pi\) is dividing by \(\pi\).

$$ \frac{C}{\pi}=\frac{\pi d}{\pi} $$

Step2: Simplify the right - hand side

On the right - hand side, \(\frac{\pi d}{\pi}\), the \(\pi\) terms cancel out (because \(\frac{\pi}{\pi}=1\)).

$$ \frac{C}{\pi}=d $$

Answer:

For the multiple - choice part: B. Divide both sides by \(\pi\).
For the equation - solving part: \(d=\frac{C}{\pi}\)