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The points (0, -8) and (10, 2) represent the endpoints of a diameter of a circle. Which of the following represents the equation of this circle?

User Ebpo
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1 Answer

4 votes

Answer:

(x-5)²+(y+2)²=200.

Explanation:

1) using the given coordinates it is possible to calculate

- the centre of the given circle:


x_0=(10+0)/(2)=5; \ y_0=(2-8)/(2)=-2;

- the radius of the given circle:


r=√((10-0)^2+(2+8)^2) =√(200) ;

2) finally, the required equation (common form is (x-x₀)²+(y-y₀)²=r²):

(x-5)²+(y+2)²=200.

User Xiaoyu Xu
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