Jake throws a dart that hits the square shown below. What is the probability that the dart hits a point in the circle?
*
Captionless Image
16%
21.5%
39.75%
78.5%
The probability that the dart hits a point in the circle can be calculated by dividing the area of the circle by the total area of the square.
The area of the circle is πr^2, where r is the radius. The radius of the circle can be found by taking half the length of the side of the square.
Given that the side length of the square is 2 units, the radius of the circle is 1 unit.
Therefore, the area of the circle is π(1)^2 = π square units.
The total area of the square is (2)^2 = 4 square units.
The probability that the dart hits a point in the circle is given by:
Area of the circle / Total area of the square = π/4 ≈ 0.785 ≈ 78.5%.
Therefore, the probability that the dart hits a point in the circle is 78.5%.