A simple dart target has two concentric circles. The larger circle has a radius of 4. The smaller circle has a radius of 2. The scoring should correspond to the relative difficulty of hitting the inner circle and the outer ring. How many more points should a player receive for landing a dart in the inner circle, as opposed to the outer ring?

Answer:3 times more.Step-by-step explanation:The odds of landing a dart in any of the circles correspond to the surface area of the circle. Calculate the surface area of both circles:The formula for the area of a circle is [tex]\pi r^{2}[/tex].inner circle: [tex]A=\pi 2^{2}=12.566[/tex]for the outer circle, use the formula then subtract the value of the inner circle, to find the remaining area: [tex]A=(\pi 4^{2} )-12.566=37.699[/tex]Calculating greater chance:Divide the larger area by the smaller area:[tex]37.699/12.566 = 3[/tex]That means that the area of the outer circle is 3 times larger, making it 3 times more likely to hit the outer circle. Therefore the points for hitting the inner circle should be 3 times more.