Question

suppose that all of the points on the circular dartboard, shown are equally likely to be hit by a dart. if the radius of the shaded center circle is 2 and the radius of the entire dashboard

Answer 1

This is the area of white part / area of the entire dartboard

Therefore:

Area of the entire board

`A=\pi r^2`

Where:

r = 4

`A=\pi4^2=16\pi`

Area of white part is given by:

`A=16\pi-2^2\pi=16\pi-4\pi=12\pi`

So, the probability is:

`P=(12\pi)/(16\pi)=(12)/(16)=(3)/(4)`

As a percentage we have:

`(3)/(4)*100=0.75*100=75\%`

Answer: 75%