Answer:
d = 32 m
General Formulas and Concepts:
Symbols
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Geometry
Area of a Circle Formula: A = πr²
Radius Formula:

Explanation:
Step 1: Define
Identify variables
A = 256π m²
Step 2: Derive
Rewrite formula
- [Area of a Circle Formula] Substitute in r [Radius Formula]:

- Evaluate exponents:

- Multiply:

Step 3: Solve for d
- Substitute in A [Modified Area of a Circle Formula]:

- [Multiplication Property of Equality] Multiply 4 on both sides:

- [Division Property of Equality] Divide π on both sides:

- [Equality Property] Square root both sides:

- Rewrite:
