SSC CGL Mensuration Questions
32 questions on Mensuration for SSC CGL, including questions from 2024 papers. Each comes with the correct answer and a worked explanation.
- Questions
- 32
- Easy
- 18
- Moderate
- 14
Mensuration questions with solutions
The perimeter of a square is 112 cm. What is its area?
- (A)112 cm²
- (B)841 cm²
- (C)224 cm²
- (D)784 cm²
Show answer and explanation
Correct answer: (D) 784 cm²
Each side of the square = perimeter ÷ 4 = 112 ÷ 4 = 28 cm. Area of a square = side² = 28 × 28 = 784 cm².
Shortcut: Area = (perimeter/4)².
The circumference of a circle is 132 cm. What is its area? (Take π = 22/7)
- (A)2772 cm²
- (B)693 cm²
- (C)1386 cm²
- (D)1452 cm²
Show answer and explanation
Correct answer: (C) 1386 cm²
Circumference = 2πr = 132, so r = 132 × 7 ÷ (2 × 22) = 21 cm. Area = πr² = 22/7 × 21 × 21 = 1386 cm².
Shortcut: With π = 22/7, a circumference of 44k gives radius 7k and area 154k².
The perimeter of a square is 24 cm. What is its area?
- (A)24 cm²
- (B)48 cm²
- (C)49 cm²
- (D)36 cm²
Show answer and explanation
Correct answer: (D) 36 cm²
Each side of the square = perimeter ÷ 4 = 24 ÷ 4 = 6 cm. Area of a square = side² = 6 × 6 = 36 cm².
Shortcut: Area = (perimeter/4)².
The perimeter of a square is 100 cm. What is its area?
- (A)100 cm²
- (B)200 cm²
- (C)625 cm²
- (D)1250 cm²
Show answer and explanation
Correct answer: (C) 625 cm²
Each side of the square = perimeter ÷ 4 = 100 ÷ 4 = 25 cm. Area of a square = side² = 25 × 25 = 625 cm².
Shortcut: Area = (perimeter/4)².
The perimeter of a square is 48 cm. What is its area?
- (A)288 cm²
- (B)48 cm²
- (C)144 cm²
- (D)169 cm²
Show answer and explanation
Correct answer: (C) 144 cm²
Each side of the square = perimeter ÷ 4 = 48 ÷ 4 = 12 cm. Area of a square = side² = 12 × 12 = 144 cm².
Shortcut: Area = (perimeter/4)².
The circumference of a circle is 44 cm. What is its area? (Take π = 22/7)
- (A)176 cm²
- (B)77 cm²
- (C)154 cm²
- (D)49 cm²
Show answer and explanation
Correct answer: (C) 154 cm²
Circumference = 2πr = 44, so r = 44 × 7 ÷ (2 × 22) = 7 cm. Area = πr² = 22/7 × 7 × 7 = 154 cm².
Shortcut: With π = 22/7, a circumference of 44k gives radius 7k and area 154k².
The perimeter of a square is 44 cm. What is its area?
- (A)88 cm²
- (B)132 cm²
- (C)144 cm²
- (D)121 cm²
Show answer and explanation
Correct answer: (D) 121 cm²
Each side of the square = perimeter ÷ 4 = 44 ÷ 4 = 11 cm. Area of a square = side² = 11 × 11 = 121 cm².
Shortcut: Area = (perimeter/4)².
The circumference of a circle is 132 cm. What is its area? (Take π = 22/7)
- (A)2772 cm²
- (B)693 cm²
- (C)441 cm²
- (D)1386 cm²
Show answer and explanation
Correct answer: (D) 1386 cm²
Circumference = 2πr = 132, so r = 132 × 7 ÷ (2 × 22) = 21 cm. Area = πr² = 22/7 × 21 × 21 = 1386 cm².
Shortcut: With π = 22/7, a circumference of 44k gives radius 7k and area 154k².
The perimeter of a square is 20 cm. What is its area?
- (A)25 cm²
- (B)20 cm²
- (C)50 cm²
- (D)40 cm²
Show answer and explanation
Correct answer: (A) 25 cm²
Each side of the square = perimeter ÷ 4 = 20 ÷ 4 = 5 cm. Area of a square = side² = 5 × 5 = 25 cm².
Shortcut: Area = (perimeter/4)².
The circumference of a circle is 176 cm. What is its area? (Take π = 22/7)
- (A)4928 cm²
- (B)2464 cm²
- (C)1232 cm²
- (D)784 cm²
Show answer and explanation
Correct answer: (B) 2464 cm²
Circumference = 2πr = 176, so r = 176 × 7 ÷ (2 × 22) = 28 cm. Area = πr² = 22/7 × 28 × 28 = 2464 cm².
Shortcut: With π = 22/7, a circumference of 44k gives radius 7k and area 154k².
The perimeter of a square is 40 cm. What is its area?
- (A)40 cm²
- (B)121 cm²
- (C)100 cm²
- (D)200 cm²
Show answer and explanation
Correct answer: (C) 100 cm²
Each side of the square = perimeter ÷ 4 = 40 ÷ 4 = 10 cm. Area of a square = side² = 10 × 10 = 100 cm².
Shortcut: Area = (perimeter/4)².
The circumference of a circle is 264 cm. What is its area? (Take π = 22/7)
- (A)5544 cm²
- (B)11088 cm²
- (C)5676 cm²
- (D)2772 cm²
Show answer and explanation
Correct answer: (A) 5544 cm²
Circumference = 2πr = 264, so r = 264 × 7 ÷ (2 × 22) = 42 cm. Area = πr² = 22/7 × 42 × 42 = 5544 cm².
Shortcut: With π = 22/7, a circumference of 44k gives radius 7k and area 154k².
The perimeter of a square is 52 cm. What is its area?
- (A)338 cm²
- (B)52 cm²
- (C)104 cm²
- (D)169 cm²
Show answer and explanation
Correct answer: (D) 169 cm²
Each side of the square = perimeter ÷ 4 = 52 ÷ 4 = 13 cm. Area of a square = side² = 13 × 13 = 169 cm².
Shortcut: Area = (perimeter/4)².
The circumference of a circle is 220 cm. What is its area? (Take π = 22/7)
- (A)1925 cm²
- (B)3960 cm²
- (C)3850 cm²
- (D)7700 cm²
Show answer and explanation
Correct answer: (C) 3850 cm²
Circumference = 2πr = 220, so r = 220 × 7 ÷ (2 × 22) = 35 cm. Area = πr² = 22/7 × 35 × 35 = 3850 cm².
Shortcut: With π = 22/7, a circumference of 44k gives radius 7k and area 154k².
The perimeter of a square is 104 cm. What is its area?
- (A)729 cm²
- (B)676 cm²
- (C)1352 cm²
- (D)104 cm²
Show answer and explanation
Correct answer: (B) 676 cm²
Each side of the square = perimeter ÷ 4 = 104 ÷ 4 = 26 cm. Area of a square = side² = 26 × 26 = 676 cm².
Shortcut: Area = (perimeter/4)².
Showing 15 of 32 questions. Start a practice set above to work through the rest.
Frequently asked questions
How many SSC CGL Mensuration questions can I practise here?
32 questions — 18 easy and 14 moderate. 15 are shown on this page with answers and explanations, and the practice set draws from all of them.
How should I practise Mensuration for SSC CGL?
Read through a few solved questions first to see the method, then take a timed practice set. Afterwards, check which questions you got wrong or spent longest on and redo those before moving on.