Respuesta :

Space

Answer:

A = 16π cm²

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

  • Area of a Circle: A = πr²

Step-by-step explanation:

Step 1: Define

Radius r = 8 cm

Step 2: Derive Quarter Formula

A quarter circle is one-fourth of a circle

  1. Multiply formula by 1/4 [AC]:                    A = 1/4πr²

Step 3: Find Area

  1. Substitute in r [AC]:                    A = 1/4π(8 cm)²
  2. Exponents:                                  A = 1/4π(64 cm²)
  3. Multiply:                                      A = 16π cm²

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