15. What is the area of the circle whose equation is (X – 9)2 + (y – 3)2 = 64? O 167 O 647 O 8 2 40

Question

15. What is the area of the circle whose equation is (X – 9)2 + (y – 3)2 = 64?
O 167
O 647
O 8
2 40

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MichaelMet 2 months 2021-07-15T09:07:01+00:00 1 Answers 2 views 0

Answers ( )

    0
    2021-07-15T09:08:34+00:00

    Answer:

    64π

    General Formulas and Concepts:

    Geometry

    Area of a Circle Formula: A = πr²

    • r is radius

    Pre-Calculus

    Center-Radius Form: (x – h)² + (y – k)² = r²

    • (h, k) is center
    • r is radius

    Step-by-step explanation:

    Step 1: Define

    Identify

    (x – 9)² + (y – 3)² = 64

    ↓ Compare to Center-Radius Form

    Center (9, 3)

    Radius² = 64

    Step 2: Find Area

    1. Substitute in variables [Area of a Circle Formula]:                                         A = π(64)
    2. Multiply:                                                                                                             A = 64π

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