Question
A rectangular mat has a length of 12 in. and a width of 4 in. Drawn on the mat are three circles. Each circle has a radius of 2 in. Some friends play a game throwing darts onto the mat to see who can land a dart in one of the circles.
Assuming that a dart always lands on the mat, what is the probability that a dart thrown at random will land inside one of the circles?
Use 3.14 to estimate π.
Enter your answer, as a decimal rounded to the nearest hundredth, in the box.
P(landing in a circle) =
2 in. (In one circle) 2 in. (In one circle) 2 in (In one circle) 2 in (In one circle) 4 in. (In the length of the rectangle with the 3 circles inside) 12 in. (The width of the rectangle with the 3 circles inside)
Assuming that a dart always lands on the mat, what is the probability that a dart thrown at random will land inside one of the circles?
Use 3.14 to estimate π.
Enter your answer, as a decimal rounded to the nearest hundredth, in the box.
P(landing in a circle) =
2 in. (In one circle) 2 in. (In one circle) 2 in (In one circle) 2 in (In one circle) 4 in. (In the length of the rectangle with the 3 circles inside) 12 in. (The width of the rectangle with the 3 circles inside)
Answers
GPT 3.5
P(landing in a circle) =
Area of one circle / Total area of the mat
= (3.14 * 2^2) * 3 / (12 * 4)
= 37.68 / 48
= 0.79
Therefore, the probability that a dart thrown at random will land inside one of the circles is 0.79.
Area of one circle / Total area of the mat
= (3.14 * 2^2) * 3 / (12 * 4)
= 37.68 / 48
= 0.79
Therefore, the probability that a dart thrown at random will land inside one of the circles is 0.79.