NSEJS - Circles

JMO / IPM mega / STD IX

Find the area enclosed by the egg. AB is the diameter. AB = BC = AD. O is the centre of the circle. consider the radius AO to be 1 unit.

Answer:

(3 - √2)π - 1

circle

 wooden cubes of unit cross section (1 cm x 1 cm) are used to keep the pipe in place as shown above. What is the horizontal distance between the two cubes.

circle

find the coordinates of point of contact between the bigger and the smaller circle.

circle

The 2 circles of radius "r" are resting on a horizontal plan. A smaller circle is housed in the gap of the two bigger circles as shown. What is the radius of the smaller circle?

circle

In the diagram given below, if AD = DC and AB = AC, then show that AP = 1/4 AB

 

circle

Find angle X.

circle

Circle

A circle with radius 2 cm is placed against a right angle. Another small circle is placed in the gap between the circle and the right angle. What is the radius of the smaller circle?

circle

The ratio of area of a square inscribed in a semicircle to the area of a square inscribed in a quadrant of the same circle is.......................................

IMO STD X

Circle

Circle O (with positive area) has diameter AB, and C lies on

O. Compute the maximum possible ratio of the area of ∆ABC to the area of circle O.

Gator Mathematics Competition 2013

Circle STD VIII

Circle STD VIII

Measurement (3)