What is the diameter of the circle? [1] units

ANSWER

The diameter is 8 units.

EXPLANATION

A portion of the y-axis is serving as the diameter of the circle.

The portion of the y-axis that intersects the circle at two points.

We can use these intercepts to find the diameter.

There is a y-intercept at y=2 and y=-6.

The distance between the two intercepts is the diameter of the circle.

Therefore the radius is 8 units.

Step-by-step explanation:

By definition, the radius of a circle is the distance from its center to its edge.

We need to remember that diameter of a circle is twice the radius:

Then, you can observe in the figure that there are 4 units between the center of this circle and its edge, therefore the radius is:

Finally, you need to substitute the radius calculated into the formula   to find the value of the diameter of this circle. Then, this is:

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: