Question

Morgan has completed the mathematical statements shown below. Which statements are true regarding these formulas? Select *three* options.

--The numerical values of the area and circumference are equal when r=2
--The numerical value of the area is less than the numerical value of the circumference when r<2
--The numerical value of the area is greater than the numerical value of the circumference when r<2
--The numerical value of the area is less than the numerical value of the circumference when r>2
--The numerical value of the area is greater than the numerical value of the circumference when r>2

Answer 1

• The numerical values of the area and circumference are equal when r=2
• The numerical value of the area is less than the numerical value of the circumference when r<2
• The numerical value of the area is greater than the numerical value of the circumference when r>2

Explanation:

The formulas for area (A) and circumference (C) are ...

A = πr² = (πr)r

C = 2πr = (πr)2

Comparing numerical values, ...

when r=2, these have the same numerical value;

when r < 2, area is smaller;

when r > 2, area is larger.