Question

The circumference of a hula hoop is 86\pi \text{ cm}86π cm86, pi, start text, space, c, m, end text. What is the radius of the hula hoop?

Answer 1

Answer:

43 cm

Step-by-step explanation:

1. C = 86π
2. 86 × 3.14 (π) = 270.04
3. 270 ÷ 3.14 = 86
4. 86 ÷ 2 = 43

Answer 2

The radius of the hula hoop is 43 cm.

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Let's understand a few concepts:

To calculate the radius of the hula hoop we will use the following formula for the circumference of a circle:

• $\boxed{\bold{Circumference\:of\:a \:circle = 2 \pi r}}$

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Let's solve the given problem:

The circumference of the hula hoop = 86π cm

Therefore, we can say that,

$2\pi r = 86 \pi$

• on dividing by π

$\implies 2 r = 86$

• on dividing by 2

$\implies r = \frac{86}{2}$

$\implies \bold{r = 43\:cm}$

Thus, the radius of the hula hoop is 43 cm.

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