Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

substitute the given values into the given formula and solve for the un…

Question

substitute the given values into the given formula and solve for the unknown variable. if necessary, round to one decimal place. (use the approximation 3.14 for $pi$.) c = 2$pi$r, c = 53.4 (circumference of a circle) r = □

Explanation:

Step1: Write the formula for circumference.

$C = 2\pi r$

Step2: Substitute the given value of C.

$53.4=2\times3.14\times r$

Step3: Solve for r.

First, simplify the right - hand side: $2\times3.14 = 6.28$, so the equation becomes $53.4 = 6.28r$. Then, divide both sides by 6.28: $r=\frac{53.4}{6.28}\approx8.5$

Answer:

$8.5$