MATHEMATICS ASSIGNMENT
CLASS 10 CHAPTER-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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Question
1
Area of
sector of circle of radius 36 cm is 54Ï€ cm2 . Find the
length of the corresponding arc of the sector.
[Answer
3Ï€]
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 4Ï€ . Also
find the area of the sector formed by the arc.
[Answer
18 cm, 36Ï€ 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]
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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