Calvin is using the formula A=3r squared to estimate the area of a circle
Solve the formula for r?
A = 3r^2
r^2 = A/3
r = √(A/3)
To solve the equation A=3r^2 for r, we need to isolate the variable r.
Step 1: Divide both sides of the equation by 3 to get rid of the coefficient in front of r^2:
A/3 = (3r^2)/3
Step 2: Simplify the right side of the equation:
A/3 = r^2
Step 3: Take the square root of both sides of the equation to solve for r:
√(A/3) = √(r^2)
Step 4: Simplify the right side of the equation:
√(A/3) = r
Therefore, the formula for r is r = √(A/3).
To solve the formula A = 3r^2 for r, we need to isolate the variable r on one side of the equation. Here's how you can do it:
1. Start with the formula A = 3r^2.
2. Divide both sides of the equation by 3 to get r^2 alone.
A/3 = (3r^2) / 3
A/3 = r^2
3. To eliminate the exponent of 2, take the square root of both sides.
√(A/3) = √(r^2)
√(A/3) = r
So, the formula for r is r = √(A/3).
Now you can use this formula to estimate the value of r when given the area A of the circle.