contestada

in a circle whose radius is 8 the length of the circle is 2 pi in the radians what is the measure of the central angle subtended by the arc?

Respuesta :

we are given

radius is 8

[tex] r=8 [/tex]

length of arc is 2pi

[tex] l=2\pi [/tex]

now, we can use formula

[tex] \theta=\frac{l}{r} [/tex]

where

theta is central angle

[tex] \theta=\frac{2\pi}{8} [/tex]

[tex] \theta=\frac{\pi}{4} radians [/tex]...........Answer

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