thomass568 thomass568
  • 18-05-2022
  • Mathematics
contestada

in the circle, an arc length 8pi cm is intercepted by acentral angle of 2pi/3 radians. what is the radius of the circle

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gift1723
gift1723 gift1723
  • 18-05-2022

Answer:

radius = 12 cm

Step-by-step explanation:

al - Arc Length

[tex] \alpha \: - Central \: Angle ( in \: \: radians)[/tex]

r - Radius

[tex]al \: = 8\pi \: cm[/tex]

[tex] \alpha \: = \frac{2\pi}{3} [/tex]

[tex]al \: = \alpha \times r[/tex]

[tex]r \: = \frac{al}{ \alpha } [/tex]

[tex]r = \frac{8\pi}{( \frac{2\pi}{3} )} [/tex]

[tex]r = 12 \: cm[/tex]

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