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2 years ago

(x-10)2 + (1 - 5)2 = 28 Radius: Circumference:

Mathematics

2 answers:

Aleksandr [31]2 years ago

7 0

General equation

(x-h)²+(y-k)²=r²

Now

(x-10)²+(y-5)²=28

r²=28

r=√28
r=2√7

Circumference

2πr
2(2√7)π
4√7\pi

bixtya [17]2 years ago

3 0

<h3>Answer:</h3>

1) Radius: 2√7

2) Center: (10, 5)

3) Circumference: 33.25

<h3>Explanation:</h3>

(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

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