Question

to estimate the number of daises in a field students toss a ball into the field and mark a circular region with a radius of 15 feet from where the ball landed. the students then counted 35 daises in the circular region. if the entire field is approximately rectangular with dimensions of 3300 feet by 500 feet what is the approximate number of daises in the entire field?

Answer 1

area of circle = π15^2 = 225π

so density of daisies = 35/(225π) daisies/ft^2

area of entire field = 3300(500) = 1650000 ft^2

number of daisies = 1650000(35/(225π)
= appr. 81700