Which mathematical concepts did euler's legacy include? check all that apply.

a. the notation for the imaginary unit

b. the idea of a functional relationship

c. the formalization of function notation

d. the definition of a circle's circumference

e. the notation for the base of the natural logarithm

The correct answer is A) the notation for the imaginary unit, C) the formalization of function notation, and E) the notation for the base of the natural logarithm.

The mathematical concepts that Euler's legacy includes are the notation for the imaginary unit, the formalization of function notation, and the notation for the base of the natural logarithm.

Leonhard Euler (1707-1783) was a Swiss mathematician that developed important concepts in differential equations, geometry, calculus, and trigonometry that were applied in different fields such as mechanics, astronomy and acoustics. His concepts also had a deep effect on engineering.

the answer is

r ≈5.641

plug in the area of 100 yards into the equation

100=

divide each side by pi

≈ 31.8309=

take the square root of each side to find r

=r

r ≈5.641