jzmartinezbarajas jzmartinezbarajas
  • 08-07-2021
  • Mathematics
contestada

Find the length of an arc that subtends a central angle of 224° in a circle of radius 20 m

Respuesta :

ayfat23
ayfat23 ayfat23
  • 13-07-2021

Answer:

78.2m

Step-by-step explanation:

Lenght of the arc= ( circumference) × ( fraction of the circle)

Circumference=2πr = 2×20×π

Radius=20 m

fraction of the circle can be calculated as 224°/360°= 0.662

Then substitute the values we have

Lenght of the arc=

(2×20×π) ×0.662

= 78.2,

Lenght of the arc is 78.2m

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