Question

Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?

a)the formula for the area of a circle
b)the formula for the area of a trapezoid
c)the formula for the area of a triangle
d)the formula for the area of a rectangle

Answer 1

A: The formula for the area of a circle

Edg 2020

Answer 2

a) The formula for the area of a circle

Explanation:

The formula for the area of a circle is

A = πr²

π is an irrational number and, no matter what value you use for r, the area will be an irrational number,

b) is wrong. A = ½(a + b)h.

c) is wrong. A = ½bh.

d) is wrong. A = bh.

All measurements are rational numbers, so the areas will be rational numbers.