Please help! Would be appreciated so much

25%.

Step-by-step explanation:

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

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

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

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:

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

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.