morganrobinson997 morganrobinson997
  • 02-06-2022
  • Mathematics
contestada

The radius of a circle is 2 centimeters. What is the length of a 45° arc?

Respuesta :

profarouk profarouk
  • 04-06-2022

Answer:

1.57 cm

Step-by-step explanation:

the circle has a radius of 2.

Then

The circumference of the circle = 2πr = 2π(2) = 4π

…………………………………

Since , 45/360 = 1/8

Then, the arc is 1/8 of the entire circle.

…………………

Therefore,

the length of a 45° arc = 4π/8 = π/2 cm ≈ 1.57 cm

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