The Boundary of a City Is a Circle of Diameter

question 101

Multiple Choice

The boundary of a city is a circle of diameter L = 7 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 8-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.) Round the answer to the nearest tenth of a mile.

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