Dictionary Rank of a Word | Permutations & Combinations

 PERMUTATIONS & COMBINATIONS Rank of the word or Dictionary order of the English words like COMPUTER, COLLEGE, SUCCESS, SOCCER, RAIN, FATHER, etc. Dictionary Rank of a Word Method of finding the Rank (Dictionary Order) of the word  “R A I N” Given word: R A I N Total letters = 4 Letters in alphabetical order: A, I, N, R No. of words formed starting with A = 3! = 6 No. of words formed starting with I = 3! = 6 No. of words formed starting with N = 3! = 6 After N there is R which is required R ----- Required A ---- Required I ---- Required N ---- Required RAIN ----- 1 word   RANK OF THE WORD “R A I N” A….. = 3! = 6 I……. = 3! = 6 N….. = 3! = 6 R…A…I…N = 1 word 6 6 6 1 TOTAL 19 Rank of “R A I N” is 19 Method of finding the Rank (Dictionary Order) of the word  “F A T H E R” Given word is :  "F A T H E R" In alphabetical order: A, E, F, H, R, T Words beginni

Math Assignment Ch-12 Class X | Area Related to Plane Figures


MATHEMATICS ASSIGNMENT
CLASS 12
Area related to Plane Figures

Math Assignment Class X : Chapter 12 : Area Related to Plane Figures like triangle, quadrilaterals and circle etc. Area of minor sector, major sector, minor segment , major segment, semi-circle, quadrants etc.
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This assignment is very useful for the students of class X who want to get full knowledge about the concept. It is necessary for the students, to study NCERT book first then examples of NCERT and then go through this assignment. This procedure provides you the best results in the examination.

Question 1

Area of sector of circle of radius 36 cm is 54π cm2 . Find the length of the corresponding arc of the sector.

[Answer 3π]

 Question 2

The wheel of the motorcycle is of radius 35 cm. How many revolutions per minute must the wheel make so as to keep a speed a speed of 66 km/h

[Answer 500]

 Question 3

A cow is tied with a rope of length 14 cm at the corner of the rectangular field of dimensions 20 cm X 16 cm. Find the area of the field in which the cow can graze and in which the cow cannot graze. 
Answer 166 cm2

 Question 4

The perimeter of the semi-circle is 72 cm. Find its diameter

[Answer 28 cm]

Question 5

A race track is in the form of a ring whose inner circumference is 440m and outer circumference is 506m. Find the width of the track and the area  of the track

[Answer 10.5 cm, 4966.5 cm2]


Question 6
A bicycle wheel makes 5000 revolutions in moving 11 km. Find the diameter of the wheel.

[Answer 0.7m]

Question 7

Radius of the circle is 7 cm and angle of the sector is 120o. Find the area of the minor sector, major sector, minor segment, major segment.

Question 8

Find the radius of the circle of a 40o arc has length 4π . Also find the area of the sector formed by the arc.

[Answer 18 cm, 36π cm2]

Question 9

The minute hand of a clock is 12 cm. Find the area swept by it between

a) 9am to 9:35am                    

b) 10 am to 10:42 am)

[Answer a) 264 cm2]

Question 10

In a circle of radius 21 cm and angle of sector is 60o find the

a) length of arc,        Ans 22cm

b) area of sector,      Ans 231cm2,

c) area of segment,   Ans 40.27 cm2

d) area of major segment

Question 11

If a regular hexagon is inscribed in a circle of radius r cm. Then find its perimeter and area.

Question 1 2

Diameter of semi-circular protractor is 14 cm find its perimeter.

[Answer 36 cm]



13
Find the area of the shaded portion if BCD is a quadrant of radius 7 cm and ABCD is a square of side 7cm
14
In the given figure find the area of the shaded region.
[Answer 462 cm2
15
ABCD is a square of side 14 cm find the area of the shaded region.
[Answer 42 cm2
16
In the adjoining figure find the area of the shaded region
17
In Triangle ABC three sectors of radius 14 cm are drawn. Find the sum of the areas of these sectors.  
[Answer 308 cm2
18
At the 4 corners of quadrilateral ABCD four sectors are drawn of equal radii of 21 cm. Find the sum of areas of all these sectors.
 [ Answer 1386 cm2
19
In the adjoining figure ABCD is a trapezium with  AB parallel to CD. Find the area of the shaded region.
                                                      [Answer 28.82 cm2
20
In the adjoining figure find the area of the shaded region if ABCD is a rectangle
[Answer 4515 cm2]
21
Find the area of the shaded region if ABCD is a square of side 14 cm and  BF = 8.4 cm.                  [ Answer 71.96 cm2]
22
The diameter of the largest semi- circle is 14 cm , diameter of two empty  semi-circle is 3.5 cm and diameter  of the semi circle down the line is 7cm. Find the area and perimeter of the shaded region.
                               [Answer 86.625 cm2]
23

If AB = 14 cm, BC = 7 cm, then find the area of the shaded region.
                                                                   
                                              [Answer 115.5 cm2]















































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