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inn [45]
2 years ago
11

I need help with the problem below. I will give brainliest

Mathematics
1 answer:
Nutka1998 [239]2 years ago
7 0

Answer:

π + 2

Step-by-step explanation:

x² + y² - 4x - 4y + 4 = 0

(x² - 4x + 4) + (y² - 4y + 4) + 4 - 4 - 4 = 0

(x - 2)² + (y - 2)² = 4

So the radius of the circle = 2, center C(2, 2)

Are a of AMNB = area of semi-circle  - area of segment AB

= area of semi-circle - (area of quarter circle ABC - area of triangle ABC)

= area of quarter circle ABC + area of triangle ABC

= π(2)²/4 + 2*2/2

= π + 2

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