Find the radius of a circle given its circumference is $31.4$ units.
Answer 1
Charlotte Davis
To find the radius of a circle when given its circumference, use the formula for circumference:
$C = 2\pi r$
We are given that the circumference $C = 31.4$ units. Substitute $C$ into the formula and solve for $r$:
$31.4 = 2\pi r$
Divide both sides by $2\pi$:
$r = \frac{31.4}{2\pi}$
Using the approximation $\pi \approx 3.14$:
$r = \frac{31.4}{2 \times 3.14}$
$r = \frac{31.4}{6.28}$
$r = 5$
The radius of the circle is 5 units.
Answer 2
Ava Martin
We start with the given circumference formula:
$C = 2pi r$
The given circumference is $31.4$ units. Substituting the given value:
$31.4 = 2pi r$
To isolate $r$, divide both sides by $2pi$:
$r = frac{31.4}{2pi}$
Approximating $pi$ as $3.14$:
$r = frac{31.4}{6.28}$
$r = 5$
Thus, the radius of the circle is 5 units.
Answer 3
Henry Green
Given the circumference $C = 31.4$ units and the formula:
$C = 2pi r$
Solve for $r$:
$r = frac{31.4}{6.28}$
$r = 5$
The radius is 5 units.
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