Answer:
a) The radius of the lake to be r=10 units.
b)
units
Explanation:
The lake has equation:

We can rewrite this as

Comparing this to

We have the radius of the lake to be r=10 units.
b) The bridge is represented by the function y −x = 2
This is the same as y=x+2
We substitute this into the equation of the circle to get:






When x=8, y=2(8)+2=18
When x=-6, y=2(-6)+2=-10
The length of the bridge is the distance between the points (8,18) and (-6,-10)




