If ` x^(2) + y^(2) = a^(2)` , then a is equal to

Options

A. `(sqrt((1 + y'^(2))^(3)))/(|y''|)`
B. `(|y''|)/(sqrt((1 + y'^(2))^(3)))`
C. `(sqrt((1 + y'^(2))^(3)))/(2|y''|)`
D. None of these

Explanation

To solve the equation \( x^2 + y^2 = a^2 \) for \( a \), we can follow these steps:

### Step 1: Rewrite the equation
The given equation is:
\[ x^2 + y^2 = a^2 \]
To express \( a \) in terms of \( x \) and \( y \), we can take the square root of both sides.

### Step 2: Solve for \( a \)
Taking the square root of both sides gives us:
\[ a = \sqrt{x^2 + y^2} \]

### Final Answer
Thus, the value of \( a \) is:
\[ a = \sqrt{x^2 + y^2} \]

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