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help asap pleasee, I'LL GIVE BRAINLIEST FOR THIS QUESTION

an explanation would be appreciated, thank you in advance! <33

the radian measure of the central angle which subtends an arc of length 2π cm. In a circle of diameter = 2π cm. equals = ...........

a) 1
b) 2
c) π
d) 2π

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help asap pleasee ILL GIVE BRAINLIEST FOR THIS QUESTIONan explanation would be appreciated thank you in advance lt33the radian measure of the central angle whic class=

Respuesta :

3016183

Answer:

C is the answer

Step-by-step explanation:

2π/2 = π

Answer:  Choice B)  2

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Work Shown:

d = 2pi is the diameter

r = pi is the radius, which is half the diameter

theta = central angle we want to solve for

L = arc length = 2pi

L = theta*r, where theta must be in radians

2pi = theta*pi

2pi/pi = theta

2 = theta

theta = 2 radians

Side note: 2 radians = 114.59 degrees approximately

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