The function y = 15x | is tangent at two points to a circle of radius 4 centred on the positive y- == axis. Find the area bounded by the two curves. (Click on the graph for a larger version.) To begin, you will need to find the centre of the circle (0, k) and the points of tangency x = ±a, a > 0, where a = k= Show Hints below. If you need a hint on how to find these, click on Next, you can use symmetry of the situation to set up an integral which represents the area of the shaded region: a 2 ford f(x) dx where f(x) = To evaluate this integral you will need to use a trigonometric substitution, let x = And finally you will work down to finding: Area = (use there instead of square units.

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