What is the measure of wx shown in the diagram below

D.

Step-by-step explanation:

We have been given an image of a circle. We are asked to find the measure of arc WX.

Upon looking at our given diagram, we can see that angle S is formed by intersecting secants outside the circle.

We will use intersecting secants theorem, which states that measure of an angle formed by two intersecting secants outside a circle is half the difference of intercepted arcs.

Using above theorem, we can set an equation to find the measure of arc  WX as:

Therefore, the measure of arc WX is 32 degrees and option D is the correct choice.

g

step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi