Respuesta :

MrRoyal

The length XY of the circle X is the radius of the circle

The length of XY is 9 units

How to determine the length of XY?

The parameters are given as:

  • Length of arc, YZ = 5π
  • Central angle, YXZ = 100°

The length of arc is calculated using:

L = Ф/360 * 2πr

Where:

  • L = YZ = 5π
  • Ф = YXZ = 100°
  • Radius, r = XY

So, we have:

5π = 100/360 * 2πr

Evaluate the quotient

5π = 5/9 * πr

Divide both sides by 5π

1 = 1/9 * r

Multiply both sides by 9

r = 9

This means that

XY = r = 9

Hence, the length of XY is 9 units

Read more about arc lengths at:

https://brainly.com/question/23865630

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