What is the equation of this circle in standard form?

Standard equation of circle:

Step-by-step explanation:

Given: Ends points of diameter are M(2,4) and N(9,4)

Mid point of M and N is center of circle.

Let center of circle be O(h,k)

Using mid point formula:

[tex[(x,y)\rightarrow (\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

Distance between O and M is radius of circle.

Let radius of circle be r

Using distance formula:

Standard equation of circle:

Equation of required circle:

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)