Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.

Find the distance along the y-axis. For the example points (3,2) and (7,8), in which (3,2) is Point 1 and (7,8) is Point 2: (y2 – y1) = 8 – 2 = 6. This means that there are six units of distance on the y-axis between these two points. Find the distance along the x-axis.

The distance between these two points is 17.

Straight Line

Line PT and line QR are two parallel tangents to the circle at P and Q, respectively. ⇒ POQ is a straight line segment. ∴ PQ is the diameter of the circle. Thus, the distance between two parallel tangents of the circle is 9 cm.

The distance between two parallel planes is understood to be the shortest distance between their surfaces. Think about that; if the planes are not parallel, they must intersect, eventually. If they intersect, then at that line of intersection, they have no distance — 0 distance — between them.

To calculate the distance between the two parallel lines having y = mx + c1. The above shown figure (5) is the required equation for the distance formulae to calculate the distance between the two parallel lines. By comparing we get, c1 = 4, c2 = -1, and the slope (m) = 2.

Distance between any two parallel tangents in a circle is equal to measure of a Diameter . This can be seen as since tangents are parallel and both touches the circle at one point . Hence, we can say a length of Diameter will fulfill the perpendicular gap between them .

Hence distance between parallel tangents is 20cm.

two tangents

Hence, The distance will be 10 cm between two parallel tangents….

Answer: Hence, the distance two parallel tangents of a circle of the radius 4 cm is 8cm.

distance between two parallel tangents of a circle of radius 7cm is double the radius.

2 parallel tangents

A circle can have infinite tangents. Such lines are called tangent lines or simply as tangents to the circle from a given point. It may be noted that from a particular point outside a circle only two tangents can be drawn.

because they is always the same distance apart. circle is made up of infinite points,so Corresponding points of circles are always the same distance apart,then circle with circle are parallel.

From a point outside the circle, infinite secants can be drawn to the circle.

two points common

of tangency

two parallel tangents

A tangent is a line that intersects a circle at only one point on its circumference. On the other hand, a secant is a line that cuts through a circle such that it touches at two points of the circumference. Therefore, a circle can have a maximum of two tangents parallel to a secant.

2 common tangents

A radius of a circle is a segment with one endpoint on the circle and the other endpoint at the center of the circle. There is only one diameter drawn on circle C. However, every circle has an infinite number of possible diameters.