Triangle

 

KITE

 

In the given figure, AB = BC and AD = CD. Inradius ME = 5 cm, Inradius NF = 6 cm and Inradius HP = 8 cm. 

What is the area of kite ABCD ?

Quadrilateral

 

Right Angled Triangle

 

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 ?

 

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 ?

 

Semicircle

In the given figure, AC is the diameter of the semicircle with center O. B is a point on the semicircle such that area of the triangle ABC is 24 sq.cm . Incircle of triangle ABC touches AC at point D. DO = 1 cm .

What is the area of the Incircle ?

 

Trapezium and Circle

In the given figure, ABCD is a Trapezium. AB is parallel with DC. Each of angle BAD and ADC is 90 degree. Incircle EFGH touches AB, BC, CD and DA at points E, F, G and H respectively. 

Triangle and Circles

 

In the given figure, ABC is a right angle triangle, right angle at B, BD is perpendicular to AC. MNP is incircle of triangle ABC touches AC at M. O is the center of the incircle. Inradius OM = 15 cm .  AC is tangent to the bigger circle at point D and the center is at B. Bigger circle intersects AB at point E and BC at point F.  FC = 9 cm and AE = 24 cm .

What is the area of the triangle ABC ?

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 ? 

Trapezium

In the given figure, Trapezium ABCD is circumscribed, touching the circle at P, Q, R and S.AB is parallel with DC. ADC is right angle. PB = 10 cm. Radius OR = 50 cm. 

What is the area of the Trapezium ?

Rhombus

ABCD is  a Rhombus. A Circle through vertex A and C intersects AB at point E and CD at point F. EB = 119 cm and EF = 130 cm . What is the area of the rhombus ?

PARALLELOGRAM

 ABCD is a parallelogram in which   AB - BC = AC - BD . Perimeter of the 

parallelogram is 48 cm . 

What is the length of the smaller side ?

magic square sudoku 18

A partially filled 16x16 grid is given below.

	5						12	14						3
8						9			5						12
			12		5					3		14
		9		8							12		5
			11		6					7		10
		7		10							1		16
	6						11	10						7
10						7			16						1
16						1			7						10
	7						10	6						11
		1		16							10		7
			10		7					11		6
		5		12							9		8
			3		14					5		12
12						5			8						9
	14						3	12						5

                                         GIANT SUDOKU 16x16

   Fill in the grid with numbers from 1 to 16 in such a way that every row,every      column,every 4x4 box and each corner to corner diagonal accommodates numbers         1 to 16 without repeating any. Also,each 4x4 box is a magic square of order 4. 

magic square sudoku 17

A partially filled 16x16 grid is given below.

			15	12							4	7
		5			2					10			13
	2					5			13					10
12							15	7							4
10							13	5							2
	4					7			15					12
		7			4					12			15
			13	10							2	5
			1	6							14	9
		11			16					8			3
	16					11			3					8
6							1	9							14
8							3	11							16
	14					9			1					6
		9			14					6			1
			3	8							16	11

GIANT SUDOKU 16x16

Fill in the grid with numbers from 1 to 16 in such a way that every row,every column ,every 4x4 box,each corner to corner diagonal accommodates numbers 1 to 16 without repeating any. Also,each 4x4 box is a magic square of order 4.