Planning a freeway The boundary of a city is a circle of diameter 5 miles. As shown in the...

Planning a freeway The boundary of a city is a circle of diameter 5 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 6-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.)

EXERCISE