Solving for Radius in Equations

The video tutorial explains how to solve a literal equation for the radius (r) in the formula for the circumference of a circle. It begins by introducing the concept of literal equations and the importance of the circumference formula. The tutorial then demonstrates the steps to isolate r by using division to undo multiplication, ensuring to perform operations on both sides of the equation. Finally, it rearranges the equation to present the solution with r on the left side, concluding with a brief summary and encouragement.

What is a literal equation?

• An equation with no solution

• An equation with only one variable

• An equation with variables

• An equation with only numbers

What does the formula discussed in the video calculate?

• Volume of a sphere

• Area of a circle

• Circumference of a circle

• Diameter of a circle

What operation is used to solve for r in the equation?

• Division

• Multiplication

• Subtraction

• Addition

Why do we divide both sides of the equation by 2π?

• To find the value of π

• To eliminate the variable r

• To isolate the variable r

• To simplify the equation

What is the first step in solving the equation for r?

• Divide both sides by 2π

• Multiply both sides by 2π

• Subtract 2π from both sides

• Add 2π to both sides

What is the result of dividing both sides of the equation by 2π?

• r = π/2c

• r = c/2π

• r = 2πc

• r = c

What is the purpose of rearranging the equation?

• To eliminate π

• To make it more complex

• To solve for a different variable

• To make r the subject of the equation

What happens to the 2π when you divide both sides of the equation by it?

• It doubles

• It cancels out

• It becomes negative

• It remains unchanged

What is the final form of the equation after solving for r?

• r = c/2π

• r = 2πc

• r = cπ/2

• r = 2c/π

Why is it better to have the variable you are solving for on the left?

• It is required for all equations

• It is a mathematical rule

• It simplifies calculations

• It makes the equation easier to read