DuckieDai Ellipse Area Python Program

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geometry · MIT License

Overview

Solve an ellipse's area, semi-major axis, or semi-minor axis with labelled formulas and guarded positive inputs.

Usage

Inputs

Requested unknown: area, semi-major axis, or semi-minor axis
Two known positive values below 1e100

Outputs

Requested ellipse quantity with formula and labelled units

Units: Use one consistent length unit; area uses that unit squared.

Assumptions and limitations

Assumptions

a and b are the semi-axis lengths of one ellipse.

Constraints

Inputs must be positive and below 1e100.

Known failures

Inconsistent units produce an incorrect numerical result.

Compatibility and review

Review status: Tested on a TI calculator
Tested on: TI-84 Plus CE Python; OS 5.8.3; Python App 5.8.3.0048; exact source owner-tested through TI Connect CE
What happened: Owner confirmed the supplied ellipse area program runs on the physical calculator.
Dependencies: math
Suggested calculator name: ELLIPSE — you can give it another valid, unique name when you transfer it
Desktop test cases: Not available for this interactive-only source

This exact source auto-launches an interactive calculator session, so compatibility evidence comes from the recorded physical-device review rather than an importable desktop fixture.

Browser preview

Try ellipse area

This browser preview calculates area from the two semi-axes. The TI program also solves either missing semi-axis.

Simulation boundary: This preview uses a reviewed browser adapter. It does not execute the downloaded Python and does not prove TI-Python or calculator compatibility.

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Exact reviewed bytes

Source code

Download .py

View source below, copy it when JavaScript is available, or download the exact .py bytes.

"""DuckieDai Ellipse Area for TI-84 Plus CE Python."""

from math import pi


def duckiedai_intro(program_name, wait=True):
    """Show the reusable DuckieDai program opening."""
    title = program_name[:16]
    empty = 16 - len(title)
    left = empty // 2
    right = empty - left

    print("+----------------------+")
    print("|   " + " " * left + title + " " * right + "   |")
    print("|                      |")
    print("|       __             |")
    print("|   ___(o )>  quack!   |")
    print("|   \\ <_. )           |")
    print("|    `---'             |")
    print("|     by DuckieDai     |")
    print("+----------------------+")
    print("Loading...")

    if wait:
        input("Press enter to start ")
        print("\n" * 6)


def positive_number(prompt):
    """Require a positive finite number."""
    while True:
        try:
            value = float(input(prompt))

            if value > 0 and value < 1e100:
                return value

        except ValueError:
            pass

        print("Enter a number above 0.")


def show_answer(name, value, unit):
    print()
    print("ANSWER")
    print(name + " = " + str(value))
    print(unit)


def main():
    duckiedai_intro("ELLIPSE AREA")

    print("AREA OF ELLIPSE")
    print()
    print("Formula:")
    print("A = pi*a*b")
    print()
    print("a = semi-major axis")
    print("b = semi-minor axis")
    print()
    print("What do you need?")
    print()
    print("1. Area")
    print("2. Semi-major axis")
    print("3. Semi-minor axis")
    print()

    choice = input("Choose 1-3: ")

    print()

    # ==========================================
    # 1. SOLVE AREA
    #
    # A = pi*a*b
    # ==========================================

    if choice == "1":

        a = positive_number(
            "Semi-major a: "
        )

        b = positive_number(
            "Semi-minor b: "
        )

        area = pi * a * b

        print()
        print("Using:")
        print("A = pi*a*b")
        print()
        print("A = pi x")
        print(str(a) + " x " + str(b))

        show_answer(
            "Area",
            area,
            "square units"
        )

    # ==========================================
    # 2. SOLVE SEMI-MAJOR AXIS
    #
    # a = A / (pi*b)
    # ==========================================

    elif choice == "2":

        area = positive_number(
            "Area: "
        )

        b = positive_number(
            "Semi-minor b: "
        )

        a = area / (pi * b)

        print()
        print("Using:")
        print("A = pi*a*b")
        print()
        print("Rearranged:")
        print("a = A/(pi*b)")

        show_answer(
            "a",
            a,
            "units"
        )

    # ==========================================
    # 3. SOLVE SEMI-MINOR AXIS
    #
    # b = A / (pi*a)
    # ==========================================

    elif choice == "3":

        area = positive_number(
            "Area: "
        )

        a = positive_number(
            "Semi-major a: "
        )

        b = area / (pi * a)

        print()
        print("Using:")
        print("A = pi*a*b")
        print()
        print("Rearranged:")
        print("b = A/(pi*a)")

        show_answer(
            "b",
            b,
            "units"
        )

    else:
        print("Invalid choice.")

    print()
    print("DuckieDai says: done!")


# TI-Python imports the selected AppVar rather than
# setting __name__ to main.
main()

"""DuckieDai Ellipse Area for TI-84 Plus CE Python."""
from math import pi
def duckiedai_intro(program_name, wait=True):
"""Show the reusable DuckieDai program opening."""
title = program_name[:16]
empty = 16 - len(title)
left = empty // 2
right = empty - left
print("+----------------------+")
print("| " + " " * left + title + " " * right + " |")
print("| |")
print("| __ |")
print("| ___(o )> quack! |")
print("| \\ <_. ) |")
print("| `---' |")
print("| by DuckieDai |")
print("+----------------------+")
print("Loading...")
if wait:
input("Press enter to start ")
print("\n" * 6)
def positive_number(prompt):
"""Require a positive finite number."""
while True:
try:
value = float(input(prompt))
if value > 0 and value < 1e100:
return value
except ValueError:
pass
print("Enter a number above 0.")
def show_answer(name, value, unit):
print()
print("ANSWER")
print(name + " = " + str(value))
print(unit)
def main():
duckiedai_intro("ELLIPSE AREA")
print("AREA OF ELLIPSE")
print()
print("Formula:")
print("A = pi*a*b")
print()
print("a = semi-major axis")
print("b = semi-minor axis")
print()
print("What do you need?")
print()
print("1. Area")
print("2. Semi-major axis")
print("3. Semi-minor axis")
print()
choice = input("Choose 1-3: ")
print()
# ==========================================
# 1. SOLVE AREA
#
# A = pi*a*b
# ==========================================
if choice == "1":
a = positive_number(
"Semi-major a: "
)
b = positive_number(
"Semi-minor b: "
)
area = pi * a * b
print()
print("Using:")
print("A = pi*a*b")
print()
print("A = pi x")
print(str(a) + " x " + str(b))
show_answer(
"Area",
area,
"square units"
)
# ==========================================
# 2. SOLVE SEMI-MAJOR AXIS
#
# a = A / (pi*b)
# ==========================================
elif choice == "2":
area = positive_number(
"Area: "
)
b = positive_number(
"Semi-minor b: "
)
a = area / (pi * b)
print()
print("Using:")
print("A = pi*a*b")
print()
print("Rearranged:")
print("a = A/(pi*b)")
show_answer(
"a",
a,
"units"
)
# ==========================================
# 3. SOLVE SEMI-MINOR AXIS
#
# b = A / (pi*a)
# ==========================================
elif choice == "3":
area = positive_number(
"Area: "
)
a = positive_number(
"Semi-major a: "
)
b = area / (pi * a)
print()
print("Using:")
print("A = pi*a*b")
print()
print("Rearranged:")
print("b = A/(pi*a)")
show_answer(
"b",
b,
"units"
)
else:
print("Invalid choice.")
print()
print("DuckieDai says: done!")
# TI-Python imports the selected AppVar rather than
# setting __name__ to main.
main()

Filename: ELLIPSE.py
Size: 3675 bytes
SHA-256: 66732e0d1831cc0bcbac60aa47066db15d918bfc34dce3242f33afabb725c9fe

Transfer and launch

Confirm that your calculator is the Python-capable model named above. Check that its OS and Python App versions match the reviewed record.
Download the .py source above and verify its SHA-256 digest if your computer provides that option.
Use TI Connect CE to send the Python file to a compatible calculator. ELLIPSE is a suggested name; you may choose another valid, unique calculator name.
Open the Python App, select the program, and check sample inputs before relying on other results.

Read the complete installation, launch, troubleshooting, and removal guide.

Availability does not mean a teacher, school, or exam permits this program. Follow the applicable rules.

Version history

1.0.0 — current version, published 2026-09-24. Download this reviewed version

Any source change requires a new immutable version and digest. Historical downloads remain available only while their review records remain valid.

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