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

A = 17.914 m²

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

Step-by-step explanation:

Step 1: Define

C = 15 m

Step 2: Solve for r

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

Step 3: Find Area

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

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