How can circles be tangent to each other?

How can circles be tangent to each other?

Two circles are tangent to each other if they have only one common point. Two circles that have two common points are said to intersect each other. Two circles can be externally tangent if the circles are situated outside one another and internally tangent if one of them is situated inside the other.

How do you draw a tangent to a circle without using the center of the circle?

To construct a tangent to a circle at a point P on it without using the centre of the circle….

  1. Triangle ABC in which BC = a, CA = b and AB = c is constructed.
  2. BM and CN is constructed angle bisectors of which intersect at I.
  3. is drawn.
  4. Taking I as centre and IL as radius, circle is drawn. This is the required incircle.

What is the common external tangent?

A common external tangent is a line that is tangent to two different circles and it does not cross the line segment that connects the centers of the…

How do you draw a tangent to a circle from an external point?

How To Construct A Tangent To A Circle From An External Point

  1. Take given circle and a point P outside the circle.
  2. Joint OP.
  3. Bisect OP and get its mid-point M.
  4. Draw circle with centre M and radius = PM = MO.
  5. Circle drawn meets the given circle at Q above PO and at Q’ below PO.
  6. Join PQ and PQ’.

How do you draw a circle with diameter 7 cm?

  1. Draw a circle of radius r=3. 5cm with center O.
  2. Draw AOB diameter.
  3. Taking AO as base and vertex A draw perpendicular to AO.
  4. Also, taking OB as base and vertex B, draw perpendicular to OB.
  5. XX′ and YY′ are the tangents at the diametrical end.

How many types of common tangent are there?

There can be four common tangents to two circles. The tangents can be either direct or transverse. When the two circles neither intersect nor touch each other, there are four common tangents.