A circle with centre C has the coordinates (-2, -2), (-1, 5) and (6, -2) on its circumference.
a. Find the perpendicular bisector of the line segment between (-2, -2) and (-1, 5)
b. Use part a. and the fact that (-2, -2) and (6, -2) lie on a horizontal line to find the
equation of this circle.
c. Find the exact coordinates of where the circle crosses the axes.
d. Calculate the shortest distance from the circumference to the point (4, 7)
e. Q is the point (-1, -3) on the circle and P is the point of the circle where 𝑥 = 𝑘, 𝑘 > 0 is a
tangent to the circle.
i) Find where the tangent at Q intersects with the tangent at P.
ii) Calculate the perimeter of the sector PCQ
iii) Calculate the area of the sector PCQ.