Find the area of the circle represented by the equation (x-2)2 + (y-3)2 = 49. (Use π = 227)

Find the area (in cm2) of an equilateral triangle whose side is 4√3 cm.

In a triangle with sides measuring 30 m, 72 m, and 78 m, what is the length of the altitude drawn to the side measuring 72 m?

Two circles A and B have radius r1 and r2, respectively. If two arcs of the same length subtend angles 51° and 68° at the centre of the circle A and B, respectively, then the ratio r1 : r2 is: