Draw circles with centres A, B, C each with radius 3 cm such that each circle touches the remaining two circles.

Draw circle with diameter 8cm.

If inside a big circle exactly n(nlt=3) small circles, each of radius r , can be drawn in such a way that each small circle touches the big circle and also touches both its adjacent small circles, then the radius of big circle is r(1+cos e cpi/n) (b) ((1+tanpi/n)/(cospi/pi)) r[1+cos e c(2pi)/n] (d) (r[sin pi/(2n)+cospi/(2n)]^2)/(sinpi/n)

In the adjoining figure, the circles with centres A and B touch each other at E Line l is a common tangent that touches the circles at C and D respectively. Find length of seg CD if the radii of the circles are 4 cm, 6 cm ? Construction : Draw seg AE and seg EB. Draw seg AF bot seg BD, B - F- D

Draw a circle with centre A and radius 3.5cm. Take a point B such that d(A,B)=8cm. Draw tangents to the circle passing through point B.

Draw a circle with centre O and radius 3.5 cm. Draw tangents PA and PB to the circle, from a point p outside the circle, at points A and B respectively. angleAPB=80^(@).

In the adjoining fig. circles with centres X , Y touch each other at Z . A secant passing through Z meets the circles at A and B respectively. Prove that, radius X A || radius YB. Fill in the blanks and complete the proof.

Construct a circle with centre O and radius 4.3 cm. Draw a chord AB of length 5.6 cm. Construct the tangents to the circle at point A and B without using centre.

Two circles intersect each other such that each circle passes through the centre of the other. If the distance between their centres is 12, what is the radius of each circle ?

Three equal circles each of radius r touch one another. The radius of the circle touching all the three given circles internally is (a) (2+sqrt(3))r (b) ((2+sqrt(3)))/(sqrt(3))r (c) ((2-sqrt(3)))/(sqrt(3))r (d) (2-sqrt(3))r

In the given figure, there are two circles with centers A and B. The common tangent to the circles touches them, respectively,at P and Q. AR is 40cm and AB is divided by the point of contact of the circles in the ratio 5:3 The radius of the circle with center B is