In each triangle p is the circumcenter use circumcenter theorem to solve for the givin values

Circumcenter theorem states that the vertices of the each triangle are equidistant from the circumcenter.

As per the statement:

It is given that: P is the circumference

From the given figure:

CP = 12 units.

then;

by circumcenter theorem;

AP= BP =CP = 12 units.

Next find the value of AB:

Labelled the diagram:

AD = 11 units

then;

AB = AD+DB

Since: AD=DB [You can see it from the given figure]

then;

AB = 2AD = 2(11) = 22 units

Therefore, the value of BP and AB are: 12 units and 22 units

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.