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Math Assignment Ch12 Class X  Area Related to Plane Figures
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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, semicircle, quadrants etc.
Question
1
Area of
sector of circle of radius 36 cm is 54Ï€ cm^{2} . 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 cm^{2}
^{ }Question 4
The
perimeter of the semicircle 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 cm^{2}]
[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 4Ï€ . Also
find the area of the sector formed by the arc.
[Answer 18 cm, 36Ï€ cm^{2}]
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 cm^{2}]
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 231cm^{2},
c) area
of segment, Ans 40.27 cm^{2}
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 semicircular 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 cm^{2}


15

ABCD is a square of side 14 cm find the area of the shaded
region.
[Answer 42 cm^{2}


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 cm^{2}


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 cm^{2}


19

In the adjoining figure ABCD is a trapezium with AB
parallel to CD. Find the area of the shaded region.
[Answer 28.82 cm^{2}


20

In the adjoining figure find the area of the shaded region
if ABCD is a rectangle
[Answer 4515 cm^{2}]


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 cm^{2}]


22

The diameter of the largest semi circle is 14 cm ,
diameter of two empty semicircle 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 cm^{2}]


23

If AB = 14 cm, BC = 7 cm, then find the area of the shaded region.
[Answer 115.5 cm^{2}]

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