In ∆ABC, ∠B is a right angle, AC = 6cm, and D is the mid-point of AC. The length of BD is:

ABCD is a cyclic quadrilateral and AD is a diameter. If ∠DAC=55° then value of ∠ABC is

Find the distance travelled by a 40 cm diameter wheel to cover a distance of 176 meters? Using (π=22/7)

If two complimentary angles are in the ratio of 4:5, find the greater angle.

The area of a circle is proportional to the square of its radius. A small circle of radius 3 cm is drawn within a larger circle of radius 5 cm. Find the ratio of the difference between the area of the larger circle and that of the smaller circle to the area of the larger circle.

ABC is an isosceles triangle with AB = AC. The side BA is produced to D such that AB = AD. If ∠ABC = 30°, then ∠BCD is equal to 

Find the area of the circle formed in an equilateral triangle of side 42 cm. Using (π=22/7)

ΔABC is similar to ΔDEF. Length of AB is 18 cm and  length of the corresponding side  DE is 10 cm. What is the ratio  of Perimeter of ΔABC : Perimeter of ΔDEF?