Select all of the true statements. Group of answer choices LaTeX: \piπππ π π is the area of a circle with a diameter of 1. LaTeX: \piπ π ππ π π is the area of a circle with a radius of 1. LaTeX: \piππππ is the circumference of a circle with a radius of 1. LaTeX: \piπππ π π is the constant of proportionality relating the radius of a circle to its area. LaTeX: \piπ π ππ π π is the circumference of a circle with a diameter of 1. LaTeX: \piπππ π π is the constant of proportionality relating the diameter of a circle to its circumference.

Options:

A. π is the area of a circle with a radius of 1.

B. π is the circumference of a circle with a radius of 1.

C. π is the constant of proportionality relating the radius of a circle to its area.

D. π is the circumference of a circle with a diameter of 1.

E. π is the constant of proportionality relating the diameter of a circle to its circumference.

A, C, D, E

Step-by-step explanation:

Analyzing the options, one after the other.

A.

Area is calculated as thus:

In this case,

So: we have

This option is true

B.

Circumference is calculated as thus:

In this case

So, we have:

This option is false

C.

Area is calculated as thus:

In this formula, Area and Radius can change but remains constant.

Hence, this option is true

D.

Circumference is calculated as thus:

or

Where

In this case

So, we have:

Hence, this option is true

E.

Circumference is calculated as thus:

or

Where

Considering

In this formula, Circumference and Diameter can change but remains constant.

Hence, this option is true

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step-by-step explanation: