Prove that the tangent drawn at the midpoint of an arc of a circle is parallel to the chord joining the end points of the arc.

Restate the following statements with appropriate conditioins, so that they become true statements. The angle subtended by a chord of a circle at a point on the circle is 90^(@)

Fill in the blanks (i) A tangent to a circle touches it in …... Point (s). (ii) A line intersecting a circle in two points is called a ….. (iii) Number of tangents can be drawn to a circle parallel to the given tangent is …. (iv) The common point of a Tangent to a circle and the circle is called ..... (v) We can draw ..... tangents to a given circle. (vi) A circle can have ..... parallel tangents at the most.

The centre of a circle lies in ........ of the circle. (exterior/interior)

The common point of a tangent to a circle and the circle is called the point of contact.

A piece of wire 20 cm long is bent into the form of an arc of a circle subtending an angle of 60^(@) at its centre. Find the radius of the circle.

In the figure, which circles are congruent to the circle A?

Prove that in concentric circles, the chord of the larger circle, which touches the smaller circle, is busected at the point of contact.

Draw a circle of radius 4 cm and take a point P on it. Without using the centre of the circle, draw a tangent to the circle at P.

A Tangent to a circle is a line which touches the circle at only one point.