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A circle has central angle measuring 2pi/5 radians that intersects an arc of length 20cm what is the length of the radius of the circle round your answer to the nearest whole cm use 3.14 for the pi

Respuesta :

Answer:

The radius of the circle = 15.92 cm

Step-by-step explanation:

Given, the central angle of the arc = [tex]\frac{2\pi }{5}[/tex] = 1.256

Length of the arc = 20 cm

Radius of the circle = ?

Radius of the circle = [tex]\frac{arc length}{central angle}[/tex] = [tex]\frac{20}{1.256}[/tex] = 15.92 cm