A sheepherder has a ranch that includes about 1.8 km2 of land. Use the fact that 1 km is approximately equal to 0.6214 miles to convert this measurement to square miles (mi2). Round your answer to the nearest tenth. Do not type the units in the space below.
Question
A sheepherder has a ranch that includes about 1.8 km2 of land. Use the fact that 1 km is approximately equal to 0.6214 miles to convert this measurement to square miles (mi2). Round your answer to the nearest tenth. Do not type the units in the space below.
Solution
To convert the area from square kilometers (km^2) to square miles (mi^2), you need to square the conversion factor.
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The conversion factor from kilometers to miles is 0.6214. So, the conversion factor from square kilometers to square miles is (0.6214)^2 = 0.3861.
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Now, multiply the area in square kilometers by the conversion factor to get the area in square miles.
So, 1.8 km^2 * 0.3861 = 0.69458 mi^2.
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Round this to the nearest tenth to get 0.7 mi^2.
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