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The circumference of a hula hoop is
86 picm.
What is the radius of the hula hoop?
cm

The circumference of a hula hoop is $86 \pi \mathrm{cm}$ . $\newline$ What is the radius of the hula hoop? $\newline$ $\square$ $\mathrm{cm}$

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Find measures of complementary, supplementary, vertical, and adjacent angles

Full solution

Q. The circumference of a hula hoop is

86 \pi \mathrm{cm}

.

\newline

What is the radius of the hula hoop?

\newline

\square

\mathrm{cm}

Circle Circumference Formula: We know the formula for the circumference of a circle is $C = 2\pi r$ , where $C$ is the circumference and $r$ is the radius.
Given Circumference: We have the circumference, $C = 86\,\text{picm}$ . We need to find the radius, $r$ .
Rearranging Formula: Rearrange the formula to solve for $r$ : $r = \frac{C}{2\pi}$ .
Substitute Circumference: Plug in the given circumference: $r = \frac{86 \, \text{picm}}{2\pi}.$
Calculate Radius: Calculate the radius: $r \approx \frac{86}{2 \times 3.14}$ . This is approximately $\frac{86}{6.28}$ .
Final Result: Do the division: $r \approx 13.69$ picm.

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