The  following equation is that of an ellipse: \(\frac{(x-6)^2}{36}+\frac{(y-2)^2}{4}=1\).

The line x=6 intersects the ellipse at two points (6,A) and (6,B). What is the distance, in graph units, between these two points?

Your company is hired to build a new, semi-circular shaped canal . A cross-section of the planned dimensions of the canal is shown below. The maximum depth of the canal will be 10 meters below ground level. What is the fraction of the total amount of ground you will be removing to form the canal?

You have a ball of radius 3 inches. You roll the ball to your friend sitting across from you. The ball rotates exactly 5 times, without slipping, before stopping at your friend. How far away is your friend from you in inches?

You have a ball of radius 3 in. Your friend is sitting 10\(\)pi\(\) inches away from you. How many rotations will the ball perform, assuming it doesn’t slip, if you roll the ball straight at your friend?

You have a three-colored highlighter in the shape of an equilateral triangle with 3 semi-circular caps as drawn below. If the length of one of the sides of the triangle is 6cm, what is the area of the figure below to the nearest whole \(cm^2\)? 

Which of the following graphs correctly shows the ratio of circumference and radius of a circle as a function of radius?

Two tangent lines intersect a circle, centered at the origin, of radius 7m. The distance between the two points of tangency is 14m. What are the coordinates, if they exist, of the point of intersection of these two lines?