Exploring Circumference and Area of Circles

What does the variable 'R' stand for in circle formulas?

• Circumference

• Diameter

• Radius

• Area

How can the diameter of a circle be expressed in terms of the radius?

• D = 2R

• D = R^2

• D = πR

• D = R / 2

What is the formula for the circumference of a circle using the radius?

• C = 2πR

• C = πD

• C = 2R

• C = πR^2

Why is the exact value of the circumference expressed as '12π' instead of a decimal?

• To avoid using a calculator

• Because it's easier to remember

• To simplify the calculation

• Because π is an irrational number

What is the area of a circle with a radius of 6?

• 36π

• 12π

• 18π

• 72π

Why do we prefer the exact value over decimal approximations in mathematics?

• Easier to calculate

• Requires less memory

• It's more precise

• Looks cleaner

Given an area of 576π, what is the radius of the circle?

• 48

• 36

• 12

• 24

How do you undo multiplication in the area formula to solve for the radius?

• Subtract π

• Divide by π

• Add π

• Multiply by π

What is the next step after dividing by π to solve for the radius in the area formula?

• Take the square root

• Subtract from the circumference

• Add the diameter

• Multiply by 2

If the area of a circle is 576π, what would be the diameter of the circle?

• 48 inches

• 24 inches

• 36 inches

• 12 inches