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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 86πcm 86 \pi \mathrm{cm} .\newlineWhat is the radius of the hula hoop?\newline□\square cm \mathrm{cm}

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Find measures of complementary, supplementary, vertical, and adjacent anglesright chevron icon

Full solution

Q. The circumference of a hula hoop is 86πcm 86 \pi \mathrm{cm} .\newlineWhat is the radius of the hula hoop?\newline□\square cm \mathrm{cm}
  1. Circle Circumference Formula: We know the formula for the circumference of a circle is C=2πrC = 2\pi r, where CC is the circumference and rr is the radius.
  2. Given Circumference: We have the circumference, C=86 picmC = 86\,\text{picm}. We need to find the radius, rr.
  3. Rearranging Formula: Rearrange the formula to solve for rr: r=C2πr = \frac{C}{2\pi}.
  4. Substitute Circumference: Plug in the given circumference: r=86 picm2π.r = \frac{86 \, \text{picm}}{2\pi}.
  5. Calculate Radius: Calculate the radius: r≈862×3.14r \approx \frac{86}{2 \times 3.14}. This is approximately 866.28\frac{86}{6.28}.
  6. Final Result: Do the division: r≈13.69r \approx 13.69 picm.

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