Concentric Circles & Congruent Circles

Congruent Circles and Arc

Theorem 10.6 : Equal chords of a circle (or of congruent circles) are equidistant from the centre (or centres).

Write the following statements in conditional form, "chords, which are equidistant from the centers of congruent circles, are congruent."

In two Concentric circles, AB and CD are two chords of the outer circle which touch the inner circle at E and F. Then :

In two concentric circles, a chord of length 8cm of the larger circle touches the smaller circle. If the radius of the larger circle is 5cm then find the radius of the smaller circle.

Draw three concentric circles with different radii.

As shown in the figure,circles with centres A.B and C are externally tangent to each other and internally tangent to the circle with centre D circles B and C are congruent.Circle A has radius 1 and passes through D.The radius of the circle B, is

In the adjoining figure, 7 congruent circles are placed in such a way that one circle is at the centre and other 6 circles ara tangent to it. A regular hexagon is drawn such that its vertices are the centres of the 6 circles, as shown here. If the area fo circle is 1 sq. cm, what is the area of rhe hexagon?

A chord of the larger among two concentric circles is of length 10 cm and it is tangent to the smaller circle. What is the area (in cm ) of the annular portion between the two circles?