Respuesta :
The circumference = (12)(5)(pi) = (60)(pi) because (30)(12) = 360.
(60)(pi) = (2)(r)(pi)
so, r = 30
The radius of the circle is 30 .
What is the relation between length of arc and radius?
The arc length of a circle can be calculated with the radius and central angle using the arc length formula,
Length of an Arc = θ × (π/180) × r, where θ is in degree.
According to the question
Length of arc EF = 5π
Ф = 30°
Length of an Arc = θ × (π/180) × r
substituting values
5π = 30° × (π/180) × r
r = 30
Hence, The radius of the circle is 30 .
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