How do you find the shortest distance between two circles?
Lesson Summary The shortest distance between two circles is given by C1C2 – r1 – r2, where C1C2 is the distance between the centres of the circles and r1 and r2 are their radii. Note that this expression is valid only when the two circles do not intersect, and both lie outside each other.
How do you find the distance between two circles?
To find the distance between their boundaries, we subtract the radius of each circle from the distance between their centers.
What is the shortest distance in a circle?
Solution As discussed earlier, the shortest distance between a line and a circle will be the perpendicular distance of the line from the centre of the circle, minus the radius. The radius of the circle is 1.
What is the distance between the Centres of the two circles?
Two circles touching each other internally Have a look at the figure. In this case, the distance between the centres equals the difference of the radii of the circles, i.e. C1C2 = r1 – r2.
What is the shortest distance between two points riddle?
The shortest distance between two points is a straight line.
Example 4 Find the shortest distance between the circles x 2 + y 2 = 4 and x 2 + y 2 – 6x – 8y + 24 = 0. Solution The centres of the two circles are (0, 0) and (3, 4) respectively, and their radii are 2 and 1 respectively. Here’s a figure to illustrate. The figure shows that the two circles do not intersect or touch each other.
What are the centres of the two circles?
Solution The centres of the two circles are (0, 0) and (3, 4) respectively, and their radii are 2 and 1 respectively. Here’s a figure to illustrate. The figure shows that the two circles do not intersect or touch each other.
How do you find the center of a circle?
The variable r r represents the radius of the circle, h h represents the x-offset from the origin, and k k represents the y-offset from origin. The center of the circle is found at (h,k) ( h, k).