Area of the circle base = πr^2

Area = 3.14 x (11/2)^2
Area = 3.14 x (5.5)^2
Area = 3.14 x 30.25
Area = 95.065 yd^2
explain this.Why did you half the radius

In this calculation, the radius of the circle is divided by 2 because the diameter of the circle is given (11), and the radius is half the diameter. The formula used to calculate the area of a circle is πr^2, where r is the radius. So, to find the area of the circle in this case, the radius needs to be calculated by taking half of the diameter given (11/2 = 5.5). Then the formula is used to find the area which results in 95.065 square yards.

but the diameter represents the whole..it have a radius of 11

I apologize for the confusion in my previous response. If the diameter of the circle is 11, then the radius would indeed be half of that, which is 5.5.

Given that the radius is 5.5 units, the correct calculation for the area of the circle would be:
Area = πr^2
Area = 3.14 x (5.5)^2
Area = 3.14 x 30.25
Area = 95.006 square units

Thank you for pointing out the error, and I appreciate your understanding.

but the line is half not all the way on the cylinder so that is the radius 11. its not the diameter

I apologize for the confusion. Since the line only intersects halfway through the cylinder, the radius of the circle should be 11, not 5.5.

Given that the radius is 11 units, the correct calculation for the area of the circle would be:
Area = πr^2
Area = 3.14 x (11)^2
Area = 3.14 x 121
Area = 380.14 square units

Thank you for pointing out the mistake, and I appreciate your patience. Let me know if you need any further clarification.

that would be 379.94 not 380.14

You are correct. I apologize for the error in the calculation. The correct area of the circle with a radius of 11 units is indeed 379.94 square units. Thank you for your attention to detail, and I appreciate your understanding.