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The sum of the circumference of a circle and the perimeter of a rectangle is 132 cm The area of the rectangle is 112 sq. cm and breadth of the rectangle is 8 cm. What is the area of the circle?
- a)616 sq. cm.
- b)540 sq. cm.
- c)396 sq. cm.
- d)Cannot be determinede
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The sum of the circumference of a circle and the perimeter of a rectan...
Option A
Length of the rectangle =112/8 = 14 cm.
Pedrimeter of the rectangle = 2 (14 + 8) = 44 cm.
Circumference of the circle = 132- 44 = 88 cm. r =
= 14 cm.
Area of the rectangle = 22/7× 14 × 14 = 616 sq. cm.
Pedrimeter of the rectangle = 2 (14 + 8) = 44 cm.
Circumference of the circle = 132- 44 = 88 cm. r =
= 14 cm.Area of the rectangle = 22/7× 14 × 14 = 616 sq. cm.
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The sum of the circumference of a circle and the perimeter of a rectan...
Given information:
- Sum of circumference of a circle and perimeter of a rectangle = 132 cm
- Area of the rectangle = 112 sq. cm
- Breadth of the rectangle = 8 cm
To find:
- Area of the circle
Let's solve this step by step:
1. Perimeter of the rectangle:
- Perimeter of a rectangle = 2(length + breadth)
- Given the breadth = 8 cm
- Let's assume the length of the rectangle as 'l'
- Perimeter of the rectangle = 2(l + 8) = 2l + 16 cm
2. Circumference of the circle:
- Circumference of a circle = 2πr, where 'r' is the radius of the circle
- Let's assume the radius of the circle as 'x'
- Circumference of the circle = 2πx cm
3. Sum of the circumference of the circle and perimeter of the rectangle:
- 2l + 16 + 2πx = 132 cm
4. Area of the rectangle:
- Area of a rectangle = length * breadth
- Given the breadth = 8 cm
- Given the area = 112 sq. cm
- 8l = 112
- l = 14 cm
5. Substituting the value of 'l' in the equation from step 3:
- 2(14) + 16 + 2πx = 132
- 28 + 16 + 2πx = 132
- 2πx = 132 - 28 - 16
- 2πx = 88
- πx = 44
- x = 44/π
6. Area of the circle:
- Area of a circle = πr^2, where 'r' is the radius of the circle
- Substituting the value of 'x' in the equation:
- Area of the circle = π(44/π)^2 = 44^2 = 1936 sq. cm
Therefore, the area of the circle is 1936 sq. cm, which is not listed as an option. However, there might be a mistake in the question or options provided.
- Sum of circumference of a circle and perimeter of a rectangle = 132 cm
- Area of the rectangle = 112 sq. cm
- Breadth of the rectangle = 8 cm
To find:
- Area of the circle
Let's solve this step by step:
1. Perimeter of the rectangle:
- Perimeter of a rectangle = 2(length + breadth)
- Given the breadth = 8 cm
- Let's assume the length of the rectangle as 'l'
- Perimeter of the rectangle = 2(l + 8) = 2l + 16 cm
2. Circumference of the circle:
- Circumference of a circle = 2πr, where 'r' is the radius of the circle
- Let's assume the radius of the circle as 'x'
- Circumference of the circle = 2πx cm
3. Sum of the circumference of the circle and perimeter of the rectangle:
- 2l + 16 + 2πx = 132 cm
4. Area of the rectangle:
- Area of a rectangle = length * breadth
- Given the breadth = 8 cm
- Given the area = 112 sq. cm
- 8l = 112
- l = 14 cm
5. Substituting the value of 'l' in the equation from step 3:
- 2(14) + 16 + 2πx = 132
- 28 + 16 + 2πx = 132
- 2πx = 132 - 28 - 16
- 2πx = 88
- πx = 44
- x = 44/π
6. Area of the circle:
- Area of a circle = πr^2, where 'r' is the radius of the circle
- Substituting the value of 'x' in the equation:
- Area of the circle = π(44/π)^2 = 44^2 = 1936 sq. cm
Therefore, the area of the circle is 1936 sq. cm, which is not listed as an option. However, there might be a mistake in the question or options provided.
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The sum of the circumference of a circle and the perimeter of a rectangle is 132 cm The area of the rectangle is 112 sq. cm and breadth of the rectangle is 8 cm. What is the area of the circle?a)616 sq. cm.b)540 sq. cm. c)396 sq. cm.d)Cannot be determinedee)None of theseCorrect answer is option 'A'. Can you explain this answer?
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The sum of the circumference of a circle and the perimeter of a rectangle is 132 cm The area of the rectangle is 112 sq. cm and breadth of the rectangle is 8 cm. What is the area of the circle?a)616 sq. cm.b)540 sq. cm. c)396 sq. cm.d)Cannot be determinedee)None of theseCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The sum of the circumference of a circle and the perimeter of a rectangle is 132 cm The area of the rectangle is 112 sq. cm and breadth of the rectangle is 8 cm. What is the area of the circle?a)616 sq. cm.b)540 sq. cm. c)396 sq. cm.d)Cannot be determinedee)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the circumference of a circle and the perimeter of a rectangle is 132 cm The area of the rectangle is 112 sq. cm and breadth of the rectangle is 8 cm. What is the area of the circle?a)616 sq. cm.b)540 sq. cm. c)396 sq. cm.d)Cannot be determinedee)None of theseCorrect answer is option 'A'. Can you explain this answer?.
The sum of the circumference of a circle and the perimeter of a rectangle is 132 cm The area of the rectangle is 112 sq. cm and breadth of the rectangle is 8 cm. What is the area of the circle?a)616 sq. cm.b)540 sq. cm. c)396 sq. cm.d)Cannot be determinedee)None of theseCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The sum of the circumference of a circle and the perimeter of a rectangle is 132 cm The area of the rectangle is 112 sq. cm and breadth of the rectangle is 8 cm. What is the area of the circle?a)616 sq. cm.b)540 sq. cm. c)396 sq. cm.d)Cannot be determinedee)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the circumference of a circle and the perimeter of a rectangle is 132 cm The area of the rectangle is 112 sq. cm and breadth of the rectangle is 8 cm. What is the area of the circle?a)616 sq. cm.b)540 sq. cm. c)396 sq. cm.d)Cannot be determinedee)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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