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What's the area of a circle with diameter 18 units? Question 8 options: A) 9π units2 B) 81π units2 C) π units2 D) 18π units2

Respuesta :

Space

Answer:

B) 81π units²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Geometry

Radius of a Circle Formula: r = d/2

  • r is radius
  • d is diameter

Area of a Circle Formula: A = πr²

Step-by-step explanation:

Step 1: Define

Diameter d = 18 units

Step 2: Manipulate Variables

Radius r = 18 units/2 = 9 units

Step 3: Find Area

  1. Substitute in r [Area of a Circle Formula]:                                                       A = π(9 units)²
  2. [Area] Evaluate exponents:                                                                              A = π(81 units²)
  3. [Area] Multiply:                                                                                                  A = 81π units²
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