## radius

### In mathematics, the term “radius” is used to refer to the distance between the center of a circle or a sphere and any point on its circumference or surface, respectively

In mathematics, the term “radius” is used to refer to the distance between the center of a circle or a sphere and any point on its circumference or surface, respectively.

For a circle, the radius is the length of a line segment connecting the center of the circle to any point on its boundary. The radius is the same length from the center to any point on the circle because all points on the circumference are equidistant from the center.

In terms of the formula, if we consider a circle with its center at the point (h, k) and a point on its circumference defined by (x, y), the radius can be found using the formula:

r = √[(x – h)^2 + (y – k)^2]

Where r represents the radius, and (h, k) represents the coordinates of the center.

For a sphere, the radius is the distance between the center of the sphere and any point on its surface. Just like in a circle, all points on the surface of a sphere are equidistant from its center.

The radius of a sphere can be calculated using the same formula as for a circle, considering the coordinates of the center (h, k, l) and a point on its surface (x, y, z):

r = √[(x – h)^2 + (y – k)^2 + (z – l)^2]

Where r represents the radius, and (h, k, l) represents the coordinates of the center.

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