Question

Please help! Would be appreciated so much

Answer 1

Answer:

25%.

Step-by-step explanation:

First, let's find the area of both circles. The area of a circle is given by:

$\displaystyle A = \pi r^2$

The radius of the smaller circle is one. Thus, its area is:

$\displaystyle A = \pi (1)^2 = \pi$

The radius of the larger circle is two. Thus, its area is:

$\displaystyle A = pi (2)^2 = 4\pi$

The probability that a random point chosen will be inside the small circle will be the area of the small circle over the total area. Hence:

$\displaystyle P= \frac{\pi }{4\pi}=\frac{1}{4}= 25\%$

The probability of a random point being in the small circle is 25%.