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:

$P=\frac{12\pi}{16\pi}=\frac{12}{16}=\frac{3}{4}$

As a percentage we have:

$\frac{3}{4}\times100=0.75\times100=75\%$

Answer: 75%