Question

The circumference of a circle is 15 meters. find the area. use 3.14 for pi

Answer 1

A = 17.914 m²

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 Formula: C = 2πr

• r is radius

Area of a Circle Formula: A = πr²

• r is radius

Explanation:

Step 1: Define

C = 15 m

Step 2: Solve for r

1. Substitute in variables {Circumference Formula]: 15 m = 2(3.14)r
2. [Radius] Multiply: 15 m = 6.28r
3. [Radius] [Division Property of Equality] Divide 6.28 on both sides: 2.38854 m = r
4. [Radius] Rewrite: r = 2.38854 m

Step 3: Find Area

1. Substitute in variables [Area of a Circle Formula]: A = (3.14)(2.38854 m)²
2. [Area] Evaluate exponents: A = (3.14)(5.7051 m²)
3. [Area] Multiply: A = 17.914 m²