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

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__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.***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 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 cm ^{2}]**

**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 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 semi-circular protractor is 14 cm find its perimeter.

[Answer 36 cm]

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 cm**

^{2}

**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 cm**

^{2}**Question 15**

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

**[Answer 462 cm**

^{2}

**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 cm**

^{2}**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 cm**

^{2}**Question 20**

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

^{2}]**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 cm**

^{2}]

**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 cm**

^{2}]**Question 23**

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

^{2}]**PLEASE COMMENT BELOW**

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