Q. 24 - Geometry

Question

Write an equation of the circle that has the given center and radius.

$C(-2,5);r=\frac{1}{3}$

Step-by-Step Solution

Answer

The equation of the circle is ${\left(x+2\right)}^2+{\left(y-5\right)}^2=\frac{1}{9}$

Step-1 – Given

The given center = C(-2, 5) and radius = r = $\frac{1}{3}$.

Step 2: Write the equation in standard form

Rearrange and simplify the equation.

Step 3: Apply the solution method

Use factoring, quadratic formula, substitution, or other methods.

Step 4: Verify the solution(s)

Check solutions in the original equation.

Step 5: State the final answer

List all valid solutions.

Step 6: Conclude with the answer

The equation of the circle is ${\left(x+2\right)}^2+{\left(y-5\right)}^2=\frac{1}{9}$