In △PQR, ∠P = 90°. S and T are the mid points of sides PR and PQ, respectively. What is the value of RQ²/(QS²+ RT²)?

A circle with radius 42 cm is drawn. What will be length of arc of a sector subtending an angle of 60 degrees at the Centre?

G is the centroid of a triangle ABC, and the median is AD, the ratio of AD and GA is

Each side of an equilateral triangle is 4 cm. What will be its area?

If the circumcenter of the triangle lies outside it, then the 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:

A container in the shape of a frustum of a cone having diameters of its two circular faces as 35 cm. and 30 cm and vertical height 14 cm. is completely filled with oil. If each cm3 of oil has mass 1.2g, then find the cost of oil in the container if its costs Rs. 40 per kg.

The lengths of the lengths placed on the sides of a point inside an equilateral triangle are 6 cm, 8 cm and 10 cm. What is the area of the triangle?