## Basic College Mathematics (9th Edition)

The total area covered by the count is $= 300,262.5$ mile$^{2}$
1. Find the area of the circles Let $A =$ area of the circles (Note: Radius $= (diameter \div 2) = (15 \div 2) = 7.5$ miles) $A = \pi r^{2}$ $A = 3.14 \times (7.5^{2}$) $A = 3.14 \times56.25$ $A = 176.625$ mile$^{2}$ 2. Multiply the area of the circle by the number of circular areas counted Let $C =$ total area covered by the count $C = A \times 1700$ $C = 176.625 \times 1700$ $C = 300,262.5$ mile$^{2}$