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Circumference of a circle is 300cm. Among the two parallel sides of a trapezium, one is 100 cm less than the other and their ratio is 4:5. Find the height of trapezium if it is known that 1.5 times the area of circle is equals to the area of trapezium? (∏ = 3)
- a)35 cm
- b)20 cm
- c)15 cm
- d)25 cm
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Circumference of a circle is 300cm. Among the two parallel sides of a...
Calculation of Trapezium Height:
- Let the lengths of the two parallel sides of the trapezium be 4x and 5x respectively.
- According to the given information, 4x = 5x - 100.
- Solving this equation, we get x = 100.
- Therefore, the lengths of the two parallel sides are 400 cm and 500 cm.
Calculation of Trapezium Height:
- The formula for the circumference of a circle is 2πr, where r is the radius.
- Given that the circumference is 300 cm, we have 2πr = 300.
- Solving for r, we get r = 150/π = 150/3 ≈ 50 cm.
- The area of the circle is πr^2 = π(50)^2 = 2500π sq cm.
- The area of the trapezium is (1/2)(sum of parallel sides)(height) = (1/2)(400 + 500)(h) = 450h sq cm.
Calculation of Trapezium Height:
- According to the given information, 1.5 times the area of the circle is equal to the area of the trapezium.
- Therefore, 1.5 * 2500π = 450h.
- Solving for h, we get h = 25 cm.
Therefore, the height of the trapezium is 25 cm. So, option D is the correct answer.
- Let the lengths of the two parallel sides of the trapezium be 4x and 5x respectively.
- According to the given information, 4x = 5x - 100.
- Solving this equation, we get x = 100.
- Therefore, the lengths of the two parallel sides are 400 cm and 500 cm.
Calculation of Trapezium Height:
- The formula for the circumference of a circle is 2πr, where r is the radius.
- Given that the circumference is 300 cm, we have 2πr = 300.
- Solving for r, we get r = 150/π = 150/3 ≈ 50 cm.
- The area of the circle is πr^2 = π(50)^2 = 2500π sq cm.
- The area of the trapezium is (1/2)(sum of parallel sides)(height) = (1/2)(400 + 500)(h) = 450h sq cm.
Calculation of Trapezium Height:
- According to the given information, 1.5 times the area of the circle is equal to the area of the trapezium.
- Therefore, 1.5 * 2500π = 450h.
- Solving for h, we get h = 25 cm.
Therefore, the height of the trapezium is 25 cm. So, option D is the correct answer.
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Community Answer
Circumference of a circle is 300cm. Among the two parallel sides of a...
According to question,
Circumference of a circle = 300cm
2 x ∏ x radius = 300
Thus, radius = 50cm
1.5 x area of circle = area of trapezium
1.5 x 3 x 50² = area of trapezium
Among the two parallel sides of a trapezium, one is 100 cm less than the other
Their ratio = 4:5
Lengths of parallel sides = 400 cm and 500cm
Area of trapezium = 1/2 x sum of parallel sides x height
1.5 x 3 x 50² = 1/2 x (400+500)*h
Thus,
Height of trapezium = 25 cm
Hence, answer is option D
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Circumference of a circle is 300cm. Among the two parallel sides of a trapezium, one is 100 cm less than the other and their ratio is 4:5. Find the height of trapezium if it is known that 1.5 times the area of circle is equals to the area of trapezium? (∏ = 3)a)35 cmb)20 cmc)15 cmd)25 cme)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Circumference of a circle is 300cm. Among the two parallel sides of a trapezium, one is 100 cm less than the other and their ratio is 4:5. Find the height of trapezium if it is known that 1.5 times the area of circle is equals to the area of trapezium? (∏ = 3)a)35 cmb)20 cmc)15 cmd)25 cme)None of theseCorrect answer is option 'D'. 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 Circumference of a circle is 300cm. Among the two parallel sides of a trapezium, one is 100 cm less than the other and their ratio is 4:5. Find the height of trapezium if it is known that 1.5 times the area of circle is equals to the area of trapezium? (∏ = 3)a)35 cmb)20 cmc)15 cmd)25 cme)None of theseCorrect answer is option 'D'. 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 Circumference of a circle is 300cm. Among the two parallel sides of a trapezium, one is 100 cm less than the other and their ratio is 4:5. Find the height of trapezium if it is known that 1.5 times the area of circle is equals to the area of trapezium? (∏ = 3)a)35 cmb)20 cmc)15 cmd)25 cme)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Circumference of a circle is 300cm. Among the two parallel sides of a trapezium, one is 100 cm less than the other and their ratio is 4:5. Find the height of trapezium if it is known that 1.5 times the area of circle is equals to the area of trapezium? (∏ = 3)a)35 cmb)20 cmc)15 cmd)25 cme)None of theseCorrect answer is option 'D'. 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 Circumference of a circle is 300cm. Among the two parallel sides of a trapezium, one is 100 cm less than the other and their ratio is 4:5. Find the height of trapezium if it is known that 1.5 times the area of circle is equals to the area of trapezium? (∏ = 3)a)35 cmb)20 cmc)15 cmd)25 cme)None of theseCorrect answer is option 'D'. 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 Circumference of a circle is 300cm. Among the two parallel sides of a trapezium, one is 100 cm less than the other and their ratio is 4:5. Find the height of trapezium if it is known that 1.5 times the area of circle is equals to the area of trapezium? (∏ = 3)a)35 cmb)20 cmc)15 cmd)25 cme)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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