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$(y-\frac{4}{5})^2+(x+\frac{7}{10})^2=30$ find the radius

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Solve multi-step equations with fractional coefficients

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Q.

(y-\frac{4}{5})^2+(x+\frac{7}{10})^2=30

find the radius

Identify Circle Equation: Identify the general form of the circle equation and compare it to the given equation. $\newline$ Standard form: $(y - k)^2 + (x - h)^2 = r^2$ $\newline$ Given: $(y - \frac{4}{5})^2 + (x + \frac{7}{10})^2 = 30$
Recognize Radius Representation: Recognize that the number on the right side of the equation represents $r^2$ , where $r$ is the radius of the circle. $\newline$ $r^2 = 30$
Solve for Radius: Solve for the radius $r$ by taking the square root of $30$ . $\newline$ $r = \sqrt{30}$

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