Answer:
21.07
Step-by-step explanation:
This problem is a 2-step process. First you have to find the distance between the two points on the circle, using the formula [tex]d=\sqrt{(x_{1}-x_{2})^{2} +(y_{1}-y_{2})^{2} }[/tex], which would give you the diameter. After the diameter is found, using the formula C=πd, the circumference can be found.
Using the points (1,7) and (-2,1), we can find the diameter of the circle by plugging it into the first equation.
d=\sqrt{((1--2)^2+(7-1)^2}
After plugging that into a calculator, we can find that the diameter is approximately equal to 6.71.
Now 6.71 can be plugged into the equation C=πd to find the circumference.
C=πd
C=π*6.71
C≈21.07 units
