Write a java program that prompts the user for the diameter of a circle and an x-increment "dx" (both in centimeters), then calculates and displays the area of the circle in square centimeters using a Riemann Sum. To find the area of the circle using a Riemann sum, first, find the area of one quadrant by dividing the quadrant into rectangles, each of width "dx" (as in "delta-x", which means "change in x"), and then use the Pythagorean Theorem to find the "y" value at each "x" value.

y = sqrt(r^2 - x^2)

Multiply "dx" by "y" to get the area of the rectangle at that "x" value (see attached diagram). Add the areas of the rectangles together, and you have the area of the quadrant. To obtain the area of the entire circle, multiply the quadrant's area by four.

The program should use a for loop to do the calculations.
All variables should be of type double.
It should also use at least 2 methods.

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Ap practice - performance task response the ap create performance task asks you to write about an abstraction that you developed and wrote into your code. most of the time that means identifying a function or procedure you wrote to "manage complexity" in your program. here is the actual prompt from the create performance task: 2d. capture and paste a program code segment that contains an abstraction you developed individually on your own (marked with a rectangle). this abstraction must integrate mathematical and logical concepts. explain how your abstraction manage the complexity of your program. (must not exceed 200 words) below is a segment of code from an "under the sea" program with a rectangle drawn around a portion of the code identifying an abstraction. imagine that you wrote this and are composing an ap response about how this abstraction manages complexity. (note: ignore the requirement that the abstraction integrate "mathematical and logical concepts" for this practice response. just write about managing complexity). explain how the abstraction marked with the rectangle in the code above manage complexity of this program. write your response here submit

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