## How do you find the midpoint of a circle using algorithms?

Algorithm:

- Step1: Put x =0, y =r in equation 2. We have p=1-r.
- Step2: Repeat steps while x ≤ y. Plot (x, y) If (p<0) Then set p = p + 2x + 3. Else. p = p + 2(x-y)+5. y =y – 1 (end if) x =x+1 (end loop)
- Step3: End.
- Output:

**What is mid-point circle generation algorithm?**

The mid-point circle drawing algorithm is an algorithm used to determine the points needed for rasterizing a circle. We use the mid-point algorithm to calculate all the perimeter points of the circle in the first octant and then print them along with their mirror points in the other octants.

### What is the initial value INT of decision parameter in mid-point circle drawing algorithm?

The initial value of decision parameter can be obtained by evaluating circle function at the start Position (x0, y0) = (0, r).

**What is circle generation algorithm?**

There are two popular algorithms for generating a circle − Bresenham’s Algorithm and Midpoint Circle Algorithm. These algorithms are based on the idea of determining the subsequent points required to draw the circle. Let us discuss the algorithms in detail − The equation of circle is X2+Y2=r2, where r is radius.

#### Why midpoint circle algorithm is so called?

This is an algorithm which is used to calculate the entire perimeter points of a circle in a first octant so that the points of the other octant can be taken easily as they are mirror points; this is due to circle property as it is symmetric about its center.

**Why mid point circle drawing algorithm is needed?**

The midpoint circle drawing algorithm helps us to calculate the complete perimeter points of a circle for the first octant. We can quickly find and calculate the points of other octants with the help of the first octant points.

## What is the meaning of decision parameter how is it calculated?

decision parameter as the name suggests is a criteria based on which further calculations are made. For example in Bresenham algorithm if decision factor is > 0 then one set of actions takes place and if decision factor is < 0, then some other steps are to be followed.

**What is difference between Bresenham’s and midpoint circle drawing algorithm?**

3 Answers. Bresenham’s circle algorithm is simply an optimized version of the Midpoint circle algorithm. The difference is Bresenham’s algorithm uses just integer arithmetics, whilst Midpoint still needs floating point.

### Why we use Bresenham’s algorithm?

Bresenham’s line algorithm is a line drawing algorithm that determines the points of an n-dimensional raster that should be selected in order to form a close approximation to a straight line between two points. The algorithm is used in hardware such as plotters and in the graphics chips of modern graphics cards.

**Why Bresenham’s circle drawing algorithm is better than mid point circle drawing algorithm?**

Bresenham’s algorithm deals with integers, so is very less time and memory consuming. This algorithm is accurate and efficient as it avoids using round function or floating point calculations. Mid-point circle algorithm also avoids square root or trigonometric calculation by adopting integer operation only.

#### Which algorithm is best for line drawing?

Bresenham’s line algorithm is a line drawing algorithm that determines the points of an n-dimensional raster that should be selected in order to form a close approximation to a straight line between two points.

**Is there an algorithm for drawing a midpoint circle?**

Midpoint Circle Algorithm in C and C++ Here you will get program for midpoint circle algorithm in C and C++. It is an algorithm used in computer graphics for drawing circle. This program will work in Turbo C or Turbo C++ compiler as it uses graphics.h header file.

## Which is the advantage of a circle drawing algorithm?

Circle drawing algorithms take the advantage of 8 symmetry property of circle. Every circle has 8 octants and the circle drawing algorithm generates all the points for one octant.

**How are the points of a circle generated?**

Circle drawing algorithms take the advantage of 8 symmetry property of circle. Every circle has 8 octants and the circle drawing algorithm generates all the points for one octant. The points for other 7 octants are generated by changing the sign towards X and Y coordinates.

### How to find the next point in a circle?

Assign the starting point coordinates (X 0, Y 0) as- Suppose the current point is (X k, Y k) and the next point is (X k+1, Y k+1 ). Find the next point of the first octant depending on the value of decision parameter P k.