Six equal circles, each of radius a are placed so that each tuches other circle,s their centres are joined to form a hexagon. Prove that areas which the circles enclose is `2a^2(3sqrt(3)-pi)`

Four equal circles, each of radius 5cm, touch each other as shown in Figure. Find the area included between them.

Four equal circles, each of radius 5cm, touch each other as shown in Figure. Find the area included between them.

Draw a circle of radius 4 cm. Draw pair of tangents to this circle which are inclined to each other at 75^(@).

Three circles each of radius 3.5 cm are drawn in such a way that each of them touches the other two. Find the area enclosed between these three circles (shaded region).

Draw a circle of radius 3 cm. Draw two tangents to the circle which ar perpendicular to each ouher.

Four equal circles, each of radius a , touch each other. Show that the area between them is 6/7a^2\ \ (T a k e\ \ pi=22//7) .

In Figure 6, three circles each of radius 3-5 cm are drawn in such a way that each of them touches the other two. Find the area enclosed between these three circles (shaded region).

Two equal circles of radius r intersect such that each passes through the centre of the other. The length of the common chord of the circles is sqrt(r) (b) sqrt(2)\ r\ A B (c) sqrt(3)\ r\ (d) (sqrt(3))/2\ r

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[s inpi/(2n)+cos(2pi)/n]^2)/(sinpi/n)

Two circles, each of radius 5 units, touch each other at (1, 2). If the equation of their common tangents is 4x+3y=10 , find the equations of the circles.