mangococonut12
mangococonut12 mangococonut12
  • 24-04-2020
  • Mathematics
contestada

1. A chord is 22 cm long. It is 60 cm from the center of the circle.
What is the radius of the circle?
Please answer with formula/explanation Thanks!

Respuesta :

PhantomWisdom PhantomWisdom
  • 02-05-2020

Answer:

Radius, r = 61 cm

Step-by-step explanation:

According to the attached figure, we have,

Length of chord, AB = 22 cm

Such that, AP = PB = 11 cm

OP = 60 cm

It is required to find the radius of the circle. We know that radius of a circle is perpendicular to chord. So, APO forms a right angled triangle. Using Pythagoras theorem to find the radius of circle. Let it is r. So,

[tex]r^2=60^2+11^2\\\\r=61\ cm[/tex]

So, the radius of the circle is 61 cm.

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