Math Assignment Ch-11 Class X | Area Related to Plane Figures

MATHEMATICS ASSIGNMENT

CLASS 10    CHAPTER-11

Area related to Plane Figures

Math Assignment Class X : Chapter 11 : 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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MATHEMATICS ASSIGNMENT

CLASS 10    CHAPTER-11

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 120^o. Find the area of the minor sector, major sector, minor segment, major segment.

Question 8

Find the radius of the circle of a 40^o 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 60^o 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]

Question 13

In Triangle ABC three sectors of radius 14 cm are drawn. Find the sum of the areas of these sectors.  

[Answer 308 cm²

Question 14

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

Question 15

In the given figure find the area of the shaded region.

[Answer 462 cm²

Question 16

In the adjoining figure find the area of the shaded region.

QUESTIONS DELETED FROM CBSE SYLLABUS

Question 17

Find the area of the shaded portion if BCD is a quadrant of radius 7 cm and ABCD is a square of side 7cm

Question 18

ABCD is a square of side 14 cm find the area of the shaded region.

[Answer 42 cm²

Question 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

Question 20

In the adjoining figure find the area of the shaded region if ABCD is a rectangle[Answer 4515 cm²]

Question 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]

Question 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]

Question 23

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

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