Question

What is the center of the circle x2+y2=100?

Answer 1

Answer:

x 2 + y 2 = 100

This is the form of a circle. Use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y -k ) 2 = r 2

Match the values in this circle to those of the standard form. The variable  r

represents the radius of the circle,  

h represents the x-offset from the origin, and  

k represents the y-offset from origin.

r=10

h=0

k=0

The center of the circle is found at  (h,k).

Center:  (0,0)

These values represent the important values for graphing and analyzing a circle.

Center:  (0,0)

Radius:  10

Step-by-step explanation:

Answer 2

The center of a circle can be evaluated from its equation.

For given equation of the circle, the center is origin which is (0,0)

Given that:

The equation of given circle:

$x^2 + y^2 = 100$

To find:

The center of the circle.

Explanation and evaluation of center:

If the center of a circle is (h,k) with radius r units, then its equation is written as:

$(x-h)^2 + (y-k)^2 = r^2$

The given equation can be rewritten as:

$x^2 + y^2 = 100\\(x-0)^2 + (y-0)^2 = 10^2$

Thus, the given circle has center at (0,0) which is origin of the standard XY plane, and has the radius of 10 units.

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