SOLUTION: determine the radius of a circle, to the nearest tenth,given its centre and a point on the circumference centre(4,-1),Point(7,-7)

Question 887720: determine the radius of a circle, to the nearest tenth,given its centre and a point on the circumference centre(4,-1),Point(7,-7)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Find the distance between the two points

Solved by pluggable solver: Distance Formula

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

Since the first point is (4, -1), we can say (x1, y1) = (4, -1)
So ,

Since the second point is (7, -7), we can also say (x2, y2) = (7, -7)
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 (4, -1) and (7, -7)

Plug in , , , and

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Answer:

The distance between the two points (4, -1) and (7, -7) is exactly units

The approximate distance between the two points is about 6.70820393249937 units

So again,

Exact Distance: units

Approximate Distance: units

The exact radius is

The radius is approximately

Round to the nearest tenth to get 6.7 and this is your final answer.
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