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Mathematics

Grade9

Easy

Question

Determine the diameter of the circle with the given equation.
$left parenthesis x minus 13 right parenthesis squared plus left parenthesis y plus 5 right parenthesis squared equals 64$

8
16
4
64

hint Hint:

The standard equation of a circle with center and radius r is:
Upon comparing the given equation with The standard equation a circle, we get radius .Diameter is 2 times the radius.

The correct answer is: 16

The standard equation of a circle with center (h, k) and radius r is: $left parenthesis x minus h right parenthesis squared plus left parenthesis y minus k right parenthesis squared equals r squared$
For a circle whose equation is (x - 13)² + (y + 5)²= 64, Upon comparing the given equation with The standard equation a circle the radius will be $r squared space equals space 64 space rightwards double arrow space r space equals space square root of 64 space equals space 8$ .
The diameter of a circle = 2 × radius of circle
= 2 × 8
= 16
Therefore, diameter of given circle is 16.

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