How can you express R in terms of A when using the area formula A = πR²?

How can you express R in terms of A when using the area formula A = πR²?

• A. R = A / π
• B. R = πA²
• C. R = √(A / π)
• D. R = A² / π

Answer: (C)

To express R in terms of A from the area formula A = πR², we need to isolate R. Starting with the original formula: A = πR² To solve for R, the first step is to divide both sides by π: A / π = R² Now that we have R² on one side, the next step is to take the square root of both sides to solve for R: R = √(A / π) This approach accurately shows that R is equal to the square root of (A divided by π), which aligns perfectly with the answer given. By understanding the manipulation of the formula—dividing by π and then taking the square root—we can confidently express R in relation to A.

To express R in terms of A from the area formula A = πR², we need to isolate R.

Starting with the original formula:

A = πR²

To solve for R, the first step is to divide both sides by π:

A / π = R²

Now that we have R² on one side, the next step is to take the square root of both sides to solve for R:

R = √(A / π)

This approach accurately shows that R is equal to the square root of (A divided by π), which aligns perfectly with the answer given.

By understanding the manipulation of the formula—dividing by π and then taking the square root—we can confidently express R in relation to A.