Question

Farmers often plant crops in circular areas because one of the most efficient watering systems for crops provides water in a circular area. Passengers in airplanes often notice the distinct circular patterns as they fly over land used for farming. A photographer takes an aerial photo of a field on which a circular crop area has been planted. He prints the photo out and notes that 2 centimeters of length in the photo corresponds to 100 meters in actual length. a. What is the scale factor of the actual farm to the photo? If the dimensions of the entire photo are 25 cm by 20 cm, what are the actual dimensions of the rectangular land area in meters captured by the photo? If the area of the rectangular photo is 5 cm', what is the actual area of the rectangular area in square meters?

Answer 1

It is given that 2 centimeters of length in the photo correspond to 100 meters in actual length.

a. What is the scale factor of the actual farm to the photo?

The scale factor is given by

`SF=(model\: length)/(actual\: length)`