Given are two circles with their centres C1(x1, y1) and C2(x2, y2) and radius r1 and r2, the task is to check if both the circles are orthogonal or not.
Two curves are said to be orthogonal if their angle of intersection is a right angle i.e the tangents at their point of intersection are perpendicular.
Input: C1(4, 3), C2(0, 1), r1 = 2, r2 = 4 Output: Yes Input: C1(4, 3), C2(1, 2), r1 = 2, r2 = 2 Output: No
- Find the distance between the centres of two circles ‘d’ with distance formula.
- For the circles to be orthogonal we need to check if
r1 * r1 + r2 * r2 = d * d
- If it is true, then both the circles are orthagonal. Else not.
Below is the implementation of the above approach:
Given circles are orthogonal.
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- Check if two given circles touch or intersect each other
- Ratio of the distance between the centers of the circles and the point of intersection of two direct common tangents to the circles
- Ratio of the distance between the centers of the circles and the point of intersection of two transverse common tangents to the circles
- Check whether given circle resides in boundary maintained by two other circles
- Check if a given circle lies completely inside the ring formed by two concentric circles
- Path in a Rectangle with Circles
- Maximum points of intersection n circles
- Program to calculate the area between two Concentric Circles
- Radius of the inscribed circle within three tangent circles
- Length of the transverse common tangent between the two non intersecting circles
- Length of direct common tangent between two intersecting Circles
- Length of direct common tangent between the two non-intersecting Circles
- Length of rope tied around three equal circles touching each other
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