Precalculus Examples
,
Step 1
Use the midpoint formula to find the midpoint of the line segment.
Substitute in the values for and .
Add and .
Divide by .
Add and .
Step 2
Use the distance formula to determine the distance between the two points.
Substitute the actual values of the points into the distance formula.
Simplify.
Subtract from .
Raising to any positive power yields .
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Subtract from .
Move the negative in front of the fraction.
Use the power rule to distribute the exponent.
Apply the product rule to .
Apply the product rule to .
Raise to the power of .
Multiply by .
One to any power is one.
Raise to the power of .
Add and .
Rewrite as .
Any root of is .
Simplify the denominator.
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Step 3
is the equation form for a circle with radius and as the center point. In this case, and the center point is . The equation for the circle is .
Step 4
The circle equation is .
Step 5