SOLUTION: what is the circumference of the circle that has a center at (1,1) and passes through point (3,5)

Question 857145: what is the circumference of the circle that has a center at (1,1) and passes through point (3,5)
Found 2 solutions by reviewermath, jim_thompson5910:
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Q:
What is the circumference of the circle that has a center at (1,1) and passes through point (3,5)
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A:
The distance between (1, 1) and (3, 5) is equal to
= = .
The length of the radius is , so the circumference of the circle is equal to = =
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First we need the distance from (1,1) to (3,5)

Solved by pluggable solver: Distance Formula

The first point is (x1,y1). The second point is (x2,y2)

Since the first point is (1, 1), we can say (x1, y1) = (1, 1)
So ,

Since the second point is (3, 5), we can also say (x2, y2) = (3, 5)
So ,

Put this all together to get: , , , and

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Now use the distance formula to find the distance between the two points (1, 1) and (3, 5)

Plug in , , , and

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Answer:

The distance between the two points (1, 1) and (3, 5) is exactly units

The approximate distance between the two points is about 4.47213595499958 units

So again,

Exact Distance: units

Approximate Distance: units

So the distance from (1,1) to (3,5) is exactly units

This makes the radius to be

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Now use this radius to find the circumference

This is the exact circumference in terms of

Use a calculator to get the approximate circumference
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