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 ?

 

Rectangle and Semicircles

In the given figure, four equal semicircles are placed in a rectangle ABCD. Each of diameters AD, EF, BC and GH is 4 cm . 

What is the area of the region shaded in yellow ?

 

Rectangle

 In the given figure, ABCD is a rectangle. AC is tangent to two equal circles.     AC = 65 cm and MN = 23 cm.

What is the area of the Rectangle ABCD ? 

rectangle to square

A   9X4   rectangle is cut into 8 pieces as shown in the diagram given below.

           

 

Rearrange all   pieces   to   form   a   6X6   square.