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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? \text{cm}cm

Sagot :

Answer:

  • 43 cm

Step-by-step explanation:

Circumference formula:

  • C = 2πr

Given:

  • C = 86π

Find r:

  • r = C/2π = 86π / 2π = 43 cm
  • C=86[tex]\pi[/tex]

Now

ATQ

[tex]\\ \rm\Rrightarrow C=2\pi r[/tex]

[tex]\\ \rm\Rrightarrow 2\pi r=86\pi[/tex]

[tex]\\ \rm\Rrightarrow r=\dfrac{86\pi}{2\pi}[/tex]

[tex]\\ \rm\Rrightarrow r=\dfrac{86}{2}[/tex]

[tex]\\ \rm\Rrightarrow r=43cm[/tex]

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