Question

3. A student is confused and suggests that the formula for area of a circle is A = 27r. How can

thinking about units lead to the conclusion that the formula is clearly wrong?
M.5.H.1
101

Answer 1

The formula A = 27r is clearly wrong when considering units because it doesn't have square units. The correct formula for the area of a circle is A = πr^2.

Step-by-step explanation:

When thinking about units, it's important to consider that the area of a circle is measured in square units such as square centimeters or square inches. In the formula A = 27r, the units on the right side of the equation are just plain units, not square units, which indicates that something is incorrect. The correct formula for the area of a circle is A = πr^2, where π is approximately equal to 3.14.

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