Find the radius of the circumscribing circle of a regular polygon of n sides each of length is a.

n' number of particles are located at the verticles of a regular polygon of n sides having the edge length 'a'. They all start moving simultaneously with equal constant speed 'v' heading towards each other all the time. How long will the particles take to collide?

Find the radius of the circle in which a central angle of 60^(@) intercepts an arc of length 37.4 cm. (Use pi=(22)/(7) )

Find the area of a square inscribed in a circle of radius 8 cm.

If theta is the internal angle of n sided regular polygon, then sintheta is equal to:

If z_1 and bar z_1 represent adjacent vertices of a regular polygon of n sides where centre is origin and if (Im(z))/(Re(z)) = sqrt(2) - 1 , then n is equal to:

What is the radius of a circle inscribed in a triangle with sides of length 12cm, 35cm and 37cm?

Find the number of triangles whose angular points are at the angular points of a given polygon of n sides, but none of whose sides are the sides of the polygon.

Five charges, q each are placed at the corners of a regular pentagon of side 'a' as in figure: (a) (i) What will be the electric field at O, the centre of the pentagon ? (ii) What will be the electric field at O if the charge from one of the corners (say A) is removed ? (iii) What will be the electric field at O if the charge q at A is replaced by -q ? (b) How would your answer to (a) be affected if pentagon is replaced by n-sided regular polygon with charge q at each of its corners ?

Out of two cocentric circles, the radius of the outer cirle is 25cm and the chord AC of length 48cm is a tangent to the inner circle. Find the radius of the inner circle.