A circle has a diameter with endpoints at (0, 4) and (0, –8). What is the approximate area of the circle?
2 answers:
Answer:
Step-by-step explanation:
The diameter is:
The Euclidean distance between points (x1, y1) and (x2, y2) is:
sqrt((x1 - x2)^2 + (y1 - y2)^2)
Substitute (x1, y1) = (0, 4) and (x2, y2) = (0, -8):
= sqrt((-0 + 0)^2 + (-(-8) + 4)^2)
= sqrt(12^2)
= 12
or simply:
diameter: 4-(-8)=12
The radius is:
12/2=6 units
The area of the circle:
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Point-slope form of equation is:
Step-by-step explanation:
Given points are:
(2,-8) and (1,7)
First of all we have to calculate the slope of the line
so,
Point-slope form is given by:
Putting the value of slope
We can put any one of two given points in the equation to find the final form of point-slope form
So
Putting (1,7) in the equation
Hence, point-slope form of equation is:
Reducing and simplifying
Keywords: Point-slope form, equation of line
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