Rearrange Formulas Worksheets Grade 9

1. Rearrange S = 4πr² + 12πrh to solve for h.
2. Liam is designing a rectangular garden with a fixed perimeter of 40 meters. He wants to express the area A of the garden in terms of its width w. Given that the length l can be written as l = 20 - w, what is the quadratic function A(w) that represents the area of the garden?
3. Rearrange S = 5πr² + 10πrh to solve for h.

…and 4 more problems

1. Liam is analyzing a circular fountain in a park. The fountain has an area of 121π square meters. He needs to determine the radius of the fountain. The formula for the area of a circle is A = πr². Rearrange this formula to solve for the radius r, and then calculate the radius of the fountain.
2. Liam is designing a rectangular garden with a fixed perimeter of 40 meters. He wants to express the area A of the garden in terms of its width w. If the length is 5 meters less than twice the width, write a formula for the area A in terms of w only.
3. Rearrange S = 2πr² + 7πrh to solve for h.

…and 4 more problems

1. Rearrange V = (1/3)πr²h to solve for h
2. Kaia is designing a parabolic arch for a sculpture. The arch follows the equation y = -3x^2 + 27, where y is the height in meters and x is the horizontal distance from the center. Rearrange this equation to solve for x in terms of y, and then determine the horizontal distance from the center where the height of the arch is 15 meters.
3. Rearrange P = 2(l + 7) to solve for l

…and 3 more problems