Given r is the radius of three equal circles touching each other. The task is to find the length of the rope tied around the circles as shown below:
Input: r = 7
Input: r = 14
Approach: As it can be clearly seen from above image, the part of the length of rope which is not touching the circle is 2r + 2r + 2r = 6r.
The part of the rope which is touching the circles make a sector of 120 degrees on each circle. Thus, three sectors of 120 degrees each can be considered as a complete one circle of 360 degrees.
Therefore, Length of rope touching the circle is 2 * PI * r where PI = 22 / 7 and r is the radius of the circle.
Hence, the total length of the rope will be ( 2 * PI * r ) + 6r.
Below is the implementation of the above approach:
- Length of the direct common tangent between two externally touching circles
- Length of the transverse common tangent between the two non intersecting circles
- Length of direct common tangent between the two non-intersecting Circles
- Length of direct common tangent between two intersecting Circles
- Length of the perpendicular bisector of the line joining the centers of two circles
- Distance between centers of two intersecting circles if the radii and common chord length is given
- Ratio of the distance between the centers of the circles and the point of intersection of two transverse common tangents to the circles
- Ratio of the distance between the centers of the circles and the point of intersection of two direct common tangents to the circles
- Radii of the three tangent circles of equal radius which are inscribed within a circle of given radius
- Probability of cutting a rope into three pieces such that the sides form a triangle
- Count the number of subsequences of length k having equal LCM and HCF
- Number of non-decreasing sub-arrays of length greater than or equal to K
- Number of ways of choosing K equal substrings of any length for every query
- Minimum length String with Sum of the alphabetical values of the characters equal to N
- Count number of binary strings such that there is no substring of length greater than or equal to 3 with all 1's
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Improved By : SURENDRA_GANGWAR