From the equation A = 0.7854D², how can you isolate D?

From the equation A = 0.7854D², how can you isolate D?

• A. D = A / 0.7854
• B. D = √(A / 0.7854)
• C. D = A² / 0.7854
• D. D = 0.7854 / A

Answer: (B)

To isolate D from the equation A = 0.7854D², you need to rearrange the equation so that D is on one side by itself. Starting from A = 0.7854D², the first step is to divide both sides of the equation by 0.7854. This gives you: D² = A / 0.7854 The next step is to solve for D by taking the square root of both sides. When you take the square root of D², you get D, which leads to the final expression: D = √(A / 0.7854) This demonstrates that option B is correct because it correctly shows how to derive D from the initial equation by isolating D and taking the square root after rearranging the terms.

To isolate D from the equation A = 0.7854D², you need to rearrange the equation so that D is on one side by itself.

Starting from A = 0.7854D², the first step is to divide both sides of the equation by 0.7854. This gives you:

D² = A / 0.7854

The next step is to solve for D by taking the square root of both sides. When you take the square root of D², you get D, which leads to the final expression:

D = √(A / 0.7854)

This demonstrates that option B is correct because it correctly shows how to derive D from the initial equation by isolating D and taking the square root after rearranging the terms.