Suitesistahfksjfhaiu Suitesistahfksjfhaiu
  • 23-05-2018
  • Mathematics
contestada

ASAP

A central angle θ in a circle with a radius of 3.5 centimeters intercepts an arc with a length of 6.3 centimeters.

What is the radian measure of θ ? Enter your answer, as a decimal, in the box.

Respuesta :

carlosego
carlosego carlosego
  • 03-06-2018
By definition, the arc length is given by:
 S = r * θ
 Where,
 r: radio
 θ: central angle
 Clearing θ we have:
 θ = S / r
 Substituting the values we have:
 θ = 6.3 / 3.5
 θ = 1.8 radians
 Answer:
 
the radian measure of θ is:
 
θ = 1.8 radians
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