Question

5. If the tree's circumference is 141.3ft, what is its diameter?

Answer 1

d ≈ 45 ft

General Formulas and Concepts:

Symbols

• π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Geometry

• Circumference of a Circle Formula: C = πd

Explanation:

Step 1: Define

Circumference C = 141.3 ft

Step 2: Solve for d

1. Substitute in C [Circumference Formula]: 141.3 ft = πd
2. Substitute in π (approximation): 141.3 ft ≈ 3.14d
3. [Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ d
4. Rewrite: d ≈ 45 ft