The risk of tornado hitting a city is of interest. let the tornado hit area be modeled as rectangle of width 2 km and length 10 km and assume the city is modeled as a circle of 20 km radius. if it is known that the center of a tornado has hit within 100 km of the center of the city, what is the probability that the tornado has hit the city? assume the tornado is equally likely to occur anywhere and in any orientation within the 100-km radius area. (hint: compute the conditional probability for a given orientation of the hit area.)