Equation of the circle. Write the circle equation if it passes through the point (5,4) and the center of circle is (2,0).

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The distance between the point (5,4) and (2,0) is sqrt(9 + 16) = 5

As the center of the circle is (2,0) and the point (5,4) lies of it, the distance between the points is equal to the radius.

The equation of the circle is (x - 2)^2 + (y - 0)^2 = 25

=> x^2 - 4x + 4 + y^2 = 25

=> x^2 + y^2 - 4x - 21 = 0

The equation of the circle is x^2 + y^2 - 4x - 21 = 0

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial Team