Triangle

 

Triangle and Circle

 

Rectangle And Circles

 

Rectangle and Circles

In the given figure ABCD is a rectangle. E is point on AB such that incircle of triangle EBC touches EB, BC, and EC at point M, N and P respectively. OM = 2 cm . Bigger Circle touches AE, EC, DC and AD at points R, S, U and T respectively. G and F are two points on AD and H is a point on DC. EF and GH intersects at point Q, such that angle GQE is 90 degree. AE = AF.

What is the area of the rectangle? 

Rectangle and Circles

In the given figure, ABCD is a rectangle. E is a point on AB such that inradius OF of incircle of triangle EBC is 4 cm. Bigger circle touches AE,EC,DC and AD at points J,K,L and I respectively. JE =1cm.

What is the area of the bigger circle ?