The ratio of the outer and the inner perimeter of a circular path is 23 : 22, If the path is 5 meters wide the diameter of the inner circle is : 

A circular wire of radius 42 cm is bent in the form of a rectangle whose sides are in the ratio of 6 : 5 . The smaller side of the rectangle is
 ( Take $$ π = 22\over 7$$ ) : 

The equidistant point from the vertices of a triangle is called its: 

AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. The length of OD (in cm) is 

In triangle PQR, points A, B and C are taken on PQ, PR and QR respectively such that QC = AC and CR = CB. If ∠QPR = 40°, then ∠ACB is equal to: 

∆ DEF is right angle at E. if m∠F = 30⁰ Then Find the value of   $$\left( cos D - {1\over 2}\right)$$ = ?

∆ ABC  is right angle at B. If m∠C = 45⁰ Then find the value of ( cosec A - √3) = ?