5√2 cm in a circle. If the long chord makes a right angle at the centre, then what will be the length of the radius of the circle?

The adjacent angles on a straight line are in the ratio 5 ∶ 4, then the smaller angle is –

The ratio of circumradius and hypotenuse a right-angled triangle is

In a circle with centre O, AB is the diameter. P and Q are two points on the circle on the same side of the diameter AB. AQ and BP intersect at C. If ∠POQ = 54°, then the measure of ∠PCA is:

The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between there interior angles is 2 : 3. The number of sides of these polygons is respectively 

If △ABC is right angled at B, AB = 12 cm and ∠CAB = 60°, determine the length of BC.

'G' is centroid of ΔABC if AG = BC then find ∠BGC.

A wire is in the shape of a rectangle. Its length is 42.7m and breadth is 21.8m. If the same wire is re-bent in the shape of a square, what will be the measure of the side of the square?