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22 votes
22 votes
(x-10)2 + (1 - 5)2 = 28

Radius:
Circumference:

User Shibi
by
2.3k points

2 Answers

14 votes
14 votes

General equation

  • (x-h)²+(y-k)²=r²

Now

  • (x-10)²+(y-5)²=28

r²=28

  • r=√28
  • r=2√7

So

Circumference

  • 2πr
  • 2(2√7)π
  • 4√7\pi
User Gregorygtseng
by
3.0k points
7 votes
7 votes

Answer:

1) Radius: 2√7

2) Center: (10, 5)

3) Circumference: 33.25

Step-by-step explanation:

  • (x-10)² + (x - 5)² = 28

Circle formulae:

  • (x - h)² + (y - k)² = r²

where (h, k) is the center coordinates, r is radius

Rewrite the equation into standard form:

  • (x-(10))² + (x - (5))² = (√28)²

Identify following of the circle:

  • h = 10, k = 5, radius = √28 = 2√7

In order to find the Circumference of circle:

  • Use the formula: 2π(radius)

radius: 2√7

  • Circumference: 2π(2√7) = (4√7)π = 33.2475 = 33.25
User Sharleen
by
2.4k points