Using midpoint circle drawing algorithm find out all the coordinates for drawing a circle and draw the circle using the coordinates for the circle which centered at and radius is 5.

Sol32:

The midpoint circle drawing algorithm is a method used to determine the coordinates to draw a circle. The algorithm proceeds by plotting points on a circle based on the circle\'s midpoint and radius.

To draw a circle centered at (5,5) with a radius of 5 using the midpoint circle drawing algorithm, we can use the following steps:

Step 1: Initialize the center and radius of the circle

Let the center of the circle be (5,5) and the radius be 5.

Step 2: Set the initial values of x and y

We can set the initial values of x and y as follows:

x = 0 y = r = 5

Step 3: Calculate the initial value of the decision parameter

We can calculate the initial value of the decision parameter as follows:

p = 5/4 - r = 5/4 - 5 = -3/4

Step 4: Plot the first set of points

Using the initial values of x, y, and the decision parameter p, we can plot the first set of points as follows:

(5 + x, 5 + y), (5 + y, 5 + x), (5 - y, 5 + x), (5 - x, 5 + y), (5 - x, 5 - y), (5 - y, 5 - x), (5 + y, 5 - x), (5 + x, 5 - y)

These points correspond to the first octant of the circle.

Step 5: Update the value of x

We can update the value of x as follows:

x = x + 1

Step 6: Update the value of the decision parameter

We can update the value of the decision parameter as follows:

If p = 0, then p = p + 2x - 2y + 5

Step 7: Repeat steps 4 to 6 until x >= y

We can repeat steps 4 to 6 until x >= y, which means that we have plotted all the points on the circle.

Using this algorithm, we can find the coordinates for the circle centered at (5,5) with a radius of 5 as follows:

(10, 5), (9, 6), (8, 7), (7, 8), (6, 9), (5, 10), (4, 9), (3, 8), (2, 7), (1, 6), (0, 5), (1, 4), (2, 3), (3, 2), (4, 1), (5, 0), (6, 1), (7, 2), (8, 3), (9, 4)

These coordinates correspond to the circle centered at (5,5) with a radius of 5. We can use these coordinates to draw the circle.