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sp2606 [1]
3 years ago
14

Find the radius of a circle using the Pythagorean theorem, given that the center is at (1, 5) and the point (5, 1) lies on the c

ircle. 32−−√ units 12−−√ units 72−−√ units 50−−√ units
Mathematics
1 answer:
Assoli18 [71]3 years ago
4 0

Given :

Center of circle, C = ( 1 , 5 )

Point on circle, P = ( 5 , 1 )

To Find :

The radius of a circle.

Solution :

We know, radius of circle is the distance between center and point of circle.

Distance between two points A(p,q) and B(r,s) is given by :

D = \sqrt{(p-r)^2+(q-s)^2}

So, distance between the points (1, 5) and (5, 1) is :

D = \sqrt{(1-5)^2+(5-1)^2}\\\\D = 5.66 \ units

Therefore, radius of circle is 5.66 units.

Hence, this is the required solution.

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Step-by-step explanation:

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We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

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For this case we have that:

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