SOLUTION: a circular dartboard has a radius of 2 meters and a red circle in the center. Assume you hit the target at a ramdom point. For what radius of the center regions does P(hitting red)

Question 446110: a circular dartboard has a radius of 2 meters and a red circle in the center. Assume you hit the target at a ramdom point. For what radius of the center regions does P(hitting red)= 0.6?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a circular dartboard has a radius of 2 meters and a red circle in the center. Assume you hit the target at a ramdom point. For what radius of the center regions does P(hitting red)= 0.6?
----------------------
Solve:
Area of red/total area = 0.6
----
Area of red = 0.6(pi*2^2)
----
Area of red = 0.6(4pi) = 2.4pi sq in.
----
Solve: (pi)r^2 = 2.4(pi)
r^2 = 2.4
r = 1.55 inches
======================
Cheers,
Stan H.
======================
RELATED QUESTIONS
A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a... (answered by gwendolyn)

A target with a diameter of 56 cm has 4 scoring zones formed by concentric circles. The... (answered by ikleyn)

A dart hits the circular dartboard at a random point. Find the probability that the dart... (answered by Alan3354)

A circular target has a radius of 25cm. What is the probability of hitting a 1cm diameter (answered by Fombitz)

A circular target has a radius of 25 cm. What is the probability of hitting a 1 cm... (answered by stanbon)

A circular target with a radius of 5 centimeters has a circular bull's eye with a... (answered by stanbon)

there are 5 red marbles and 10 green marbles in a bag.if a marble is picked at... (answered by Edwin McCravy)

You have a target with a 10 in radius and the bullseye has a 4 inch diameter. What is the (answered by Alan3354)

A dart hits the square dartboard shown below at a random point. Find the probability of... (answered by Theo)