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Dima020 [189]
3 years ago
6

15. What is the area of the circle whose equation is (X - 9)2 + (y - 3)2 = 64?

Mathematics
1 answer:
Vsevolod [243]3 years ago
3 0

Answer:

64π

General Formulas and Concepts:

<u>Geometry</u>

Area of a Circle Formula: A = πr²

  • <em>r</em> is radius

<u>Pre-Calculus</u>

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

  • (h, k) is center
  • <em>r</em> is radius

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

(x - 9)² + (y - 3)² = 64

↓ Compare to Center-Radius Form

Center (9, 3)

Radius² = 64

<u>Step 2: Find Area</u>

  1. Substitute in variables [Area of a Circle Formula]:                                         A = π(64)
  2. Multiply:                                                                                                             A = 64π
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x = -16 or x = 5

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Given polynomial:

x^{2}+11 x-80=0

To find the roots of the polynomial.

Split the middle term 11x.

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x^{2}+16x-5x-80=0

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Take (x + 16) common in both terms.

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