MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

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.

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.