(do step by step please) Sophia throws a dart at this square-shaped target:

Part A: Is the probability of hitting the black circle inside the target closer to 0 or 1? Explain your answer and show your work.

Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer and show your work.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

you just switch the numbers basically so it would be 3/17