Question

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

Radius:
Circumference:

Answer 1

Answer:

1) Radius: 2√7

2) Center: (10, 5)

3) Circumference: 33.25

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

Answer 2

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