michealburt46
michealburt46 michealburt46
  • 18-03-2021
  • Mathematics
contestada

in a circle of radius 17cm calculate the length of a chord which is 8cm from the centre​

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 23-03-2021

Answer:

The length of the chord is 30cm

Step-by-step explanation:

Given

[tex]r = 17cm[/tex]

[tex]d = 8cm[/tex]

Required

Calculate the chord length (L)

This is calculated as:

[tex]L = 2 * \sqrt{(r^2 -d^2)[/tex]

So:

[tex]L = 2 * \sqrt{(17^2 - 8^2)[/tex]

[tex]L = 2 * \sqrt{225[/tex]

[tex]L = 2 * 15[/tex]

[tex]L = 30cm[/tex]

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