Morgan has completed the mathematical statements shown below. Which statements are true regarding these formulas? Check all that apply.A=pi·r² and C=2·pi·rA=pi·r·r and C=pi·r·2A=(pi·r)·r and C=(pi·r)·2-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
Question
Answer:
The last expression is the best to look at. That is;A = (pi.r)r and C = (pi.r)2
Comparing the multipliers r and 2;
If
r is equal to 2, then values of area and circumference are equal.
r is greater than 2, then the value of area will be smaller than that of the circumference.
r is smaller than 2, then the value of area is smaller than that of the circumference.
Therefore, statements 1, 2, 3, and 5 (fifth statement is similar to statement 3) are true.
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