Class 6 Maths Chapter 6: Perimeter and Area (Hinglish Notes)
Ye chapter 5 lines mein
Perimeter kisi band shape ki boundary ke chaaron taraf ki doori hai; polygon ke liye saari sides ki lambai jodo. Rectangle ka perimeter 2 × (length + breadth) aur square ka 4 × side hota hai. Area wo jagah hai jo shape gherti hai, aur ise square units mein naapte hain. Rectangle ka area length × breadth, square ka side × side hota hai, aur rectangle ke base pe bana triangle, jiska upar wala kona saamne wali side pe ho, rectangle ka aadha hota hai.
Perimeter kya hai?
Kisi band shape ka perimeter wo doori hai jo uski boundary pe ek chakkar lagaane mein tay hoti hai. Polygon (seedhi lines se bani band shape) ke liye ye uski saari sides ki lambai ka jod hai. Perimeter ek lambai hai, isliye ise cm, m wagairah mein likhte hain.
Perimeter ke kaunse formulas yaad rakhne hain?
- Rectangle: aamne-saamne ki sides barabar hoti hain, to perimeter = length + breadth + length + breadth = 2 × (length + breadth).
- Square: chaaron sides barabar, to perimeter = 4 × side.
- Triangle: teeno sides jodo. Equilateral triangle ke liye perimeter = 3 × side.
- Regular polygon (saari sides aur saare angles barabar): perimeter = sides ki sankhya × ek side ki lambai.
Area kya hai?
Area wo jagah hai jo koi band shape gherti hai. Ise square units mein naapte hain: 1 cm side wale square ka area 1 sq cm hota hai. Squares isliye use hote hain kyunki wo bina gap aur bina overlap ke ek-doosre se jud jaate hain.
- Rectangle: area = length × breadth.
- Square: area = side × side.
- Triangle: diagonal rectangle ko do barabar triangles mein kaatta hai. Aur rectangle ke base pe bana koi bhi triangle, jiska upar wala kona saamne wali side pe ho, rectangle ka aadha gherta hai.
Ajeeb shape ka area kaise andaaza lagayein?
Use squared paper pe trace karo. Har poore square ko 1 sq unit gino, aadhe se zyada bhare square ko bhi 1 gino, theek aadhe ko ½ gino, aur aadhe se kam bhare squares chhod do.
Kya same area wali shapes ka perimeter alag ho sakta hai?
Haan. 24 sq units area wale rectangles 1 × 24 (perimeter 50 units), 2 × 12 (28 units), 3 × 8 (22 units) ya 4 × 6 (20 units) ho sakte hain. Rectangle jitna lamba-patla, perimeter utna zyada; jitna square ke kareeb, perimeter utna kam.
Key terms (zaroori shabd)
| Term | Matlab |
|---|---|
| Perimeter (parimaap) | Band shape ki boundary pe ek chakkar lagaane mein tay ki gayi doori. |
| Polygon | Seedhi lines se bani band shape. Iska perimeter saari sides ka jod hota hai. |
| Regular polygon | Aisi band shape jiski saari sides aur saare angles barabar hon, jaise square ya equilateral triangle. |
| Equilateral triangle | Jis triangle ki teeno sides (aur angles) barabar hon. Perimeter = 3 × side. |
| Area (kshetrafal) | Band shape ke andar ghiri hui jagah. |
| Square unit | 1 unit side wale square ka area, jaise 1 sq cm ya 1 sq m. |
| Length aur breadth | Rectangle ki do sides. Breadth ko width bhi kehte hain. |
| Diagonal | Do aamne-saamne kono ko jodne wali line. Ye rectangle ko do barabar triangles mein baant deti hai. |
| Tangram | Ek square jo 7 tukdon (triangles, ek square aur ek parallelogram) mein kata ho, area compare karne ke liye. |
| Estimate (andaaza) | Kareeb ka andaaza. Squared paper pe squares gin kar area ka andaaza lagate hain. |
Is chapter ke topics
Practice karo
-
8 cm lambe aur 3 cm chaude rectangle ka perimeter kitna hai?
Jawab dekho
Jawab: (b) 22 cm 2 × (8 + 3) = 22 cm
-
Ek square ka perimeter 36 m hai. Uski side kitni hai?
Jawab dekho
Jawab: (b) 9 m 36 ÷ 4 = 9 m
-
7 cm side wale square ka area kitna hai?
Jawab dekho
Jawab: (c) 49 sq cm
-
Ek rectangle ka area 40 sq m aur length 8 m hai. Breadth kitni hai?
Jawab dekho
Jawab: (b) 5 m 40 ÷ 8 = 5 m
-
10 cm × 6 cm rectangle ke base pe ek triangle bana hai, jiska upar wala kona saamne wali side pe hai. Uska area kitna hai?
Jawab dekho
Jawab: (b) 30 sq cm 10 × 6 = 60 sq cm ka aadha 30 sq cm hai.
Students ke sawal
Class 6 Maths Ganita Prakash ka Chapter 6 kis baare mein hai?
Perimeter aur area: rectangle, square, triangle aur regular polygon ka perimeter, rectangle, square aur triangle ka area, squared paper pe area ka andaaza, aur same area par alag perimeter wali shapes.
Perimeter aur area mein kya fark hai?
Perimeter shape ke kinaare ki lambai hai, jo cm ya m mein naapte hain. Area shape ke andar ki jagah hai, jo sq cm ya sq m jaisi square units mein naapte hain.
Chapter 6 ke “Figure it Out” sawalon ke jawab kahan milenge?
Puzzles samet saare jawab is chapter ke NCERT solutions page pe step-by-step diye hain.
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