Perimeter and A...

The outer circle has center $$O$$ and circumference $$p$$. $$OT$$ is a diameter of the inner circle.

If one leg of an isosceles right-angled triangle is increased by $$6$$ cm and that of the other leg decreased by $$4$$ cm, then the area of the triangle decreases by $$24$$ sq cm. Find the length of the leg of the original triangle

Find the area of the shaded region in the following figure

In the figure above, the four circles have the same center and their radii are $$1, 2, 3$$ and $$4$$, respectively. What is the ratio of the area of the small shaded ring to the area of the large shaded ring?

A tire on a car rotates at 500 RPM (revolutions per minute) when the car is traveling at 50 km/hr (kilometers per hour). What is the circumference of the tire, in meters?

The area of the given figure ABCDEF is 

In the given figure, what is the area of $$\triangle PQR$$?

ABCD is a parallelogram, E is the mid-point of AB and CE bisects $$\displaystyle \angle BCD$$, the $$\displaystyle \angle DEC$$ is:

Perimeter of circle is known as

Circle $$C_1$$ passes through the centre of circle $$C_2$$ and is tangential to it. If the area of $$C_1$$ is $$4cm^2$$, then the area of $$C_2$$ is ________.