a circle with center (1,5) passes through the point (10,10). what is the area of the circle rounded to the nearest square unit?

1 answer:

6 0

The points of the circle satisfy the equation
.. (x -1)^2 +(y -5)^2 = r^2
Filling in the given information, we can find r^2.
.. (10 -1)^2 +(10 -5)^2 = r^2
.. 81 +25 = r^2 = 106

The area of the circle is
.. A = πr^2 = 106π ≈ 333 . . . . square units

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faust18 [17]

Answer:

Step-by-step explanation:

5. You are asked to write an equation of the line in slope-intercept form, so you need to determine the slope of the line and the y-intercept.

You're lucky. One of the points, (0,1), has an x-coordinate of 0, so you know that the y-intercept is 1.

Use the coordinates of the points to determine the slope of the line.

slope = (difference in y-coordinates)/(difference in x-coordinates) = (10-1)/(3-0) = 9/3 = 3

The slope-intercept equation of the line is y = 3x+1

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7. When x = 0, function A = 0 and function B = 3, so function B has a greater initial value.