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Sum of circumference of a circle and area of rectangle is 714 unit, if length of rectangle is two times of its breadth and diameter of circle is 21 cm. Find difference between length of rectangle and radius of circle ?
- a)24.5 cm
- b)25.5 cm
- c)23.5 cm
- d)22.5 cm
- e)20.5 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Sum of circumference of a circle and area of rectangle is 714 unit, if...
Let breadth of rectangle is x cm
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Most Upvoted Answer
Sum of circumference of a circle and area of rectangle is 714 unit, if...
To solve this problem, let's first find the circumference of the circle and the area of the rectangle.
Given:
Circumference of circle = 2πr = 714 (where r is the radius)
Diameter of circle = 21 cm
Radius of circle = 21/2 = 10.5 cm
1. Finding the Circumference of the Circle:
Circumference of circle = 2πr = 714
2πr = 714
Divide both sides by 2π:
r = 714/(2π)
r ≈ 113.63 cm
2. Finding the Area of the Rectangle:
Let the breadth of the rectangle be x cm.
The length of the rectangle is twice the breadth, so the length = 2x cm.
Area of rectangle = Length × Breadth
Area = (2x) × x
Area = 2x^2
3. Finding the Difference between the Length of the Rectangle and the Radius of the Circle:
Difference = Length of Rectangle - Radius of Circle
Difference = 2x - r
Substituting the values we found earlier:
Difference = 2x - r
Difference = 2x - 113.63
To find the value of x, we need more information. The given information is insufficient to determine the exact value of the difference between the length of the rectangle and the radius of the circle. Therefore, the given options cannot be evaluated, and the correct answer cannot be determined.
Hence, the correct answer is not available in the given options.
Given:
Circumference of circle = 2πr = 714 (where r is the radius)
Diameter of circle = 21 cm
Radius of circle = 21/2 = 10.5 cm
1. Finding the Circumference of the Circle:
Circumference of circle = 2πr = 714
2πr = 714
Divide both sides by 2π:
r = 714/(2π)
r ≈ 113.63 cm
2. Finding the Area of the Rectangle:
Let the breadth of the rectangle be x cm.
The length of the rectangle is twice the breadth, so the length = 2x cm.
Area of rectangle = Length × Breadth
Area = (2x) × x
Area = 2x^2
3. Finding the Difference between the Length of the Rectangle and the Radius of the Circle:
Difference = Length of Rectangle - Radius of Circle
Difference = 2x - r
Substituting the values we found earlier:
Difference = 2x - r
Difference = 2x - 113.63
To find the value of x, we need more information. The given information is insufficient to determine the exact value of the difference between the length of the rectangle and the radius of the circle. Therefore, the given options cannot be evaluated, and the correct answer cannot be determined.
Hence, the correct answer is not available in the given options.
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Sum of circumference of a circle and area of rectangle is 714 unit, if length of rectangle is two times of its breadth and diameter of circle is 21 cm. Find difference between length of rectangle and radius of circle ?a)24.5 cmb)25.5 cmc)23.5 cmd)22.5 cme)20.5 cmCorrect answer is option 'B'. Can you explain this answer?
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Sum of circumference of a circle and area of rectangle is 714 unit, if length of rectangle is two times of its breadth and diameter of circle is 21 cm. Find difference between length of rectangle and radius of circle ?a)24.5 cmb)25.5 cmc)23.5 cmd)22.5 cme)20.5 cmCorrect answer is option 'B'. 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 Sum of circumference of a circle and area of rectangle is 714 unit, if length of rectangle is two times of its breadth and diameter of circle is 21 cm. Find difference between length of rectangle and radius of circle ?a)24.5 cmb)25.5 cmc)23.5 cmd)22.5 cme)20.5 cmCorrect answer is option 'B'. 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 Sum of circumference of a circle and area of rectangle is 714 unit, if length of rectangle is two times of its breadth and diameter of circle is 21 cm. Find difference between length of rectangle and radius of circle ?a)24.5 cmb)25.5 cmc)23.5 cmd)22.5 cme)20.5 cmCorrect answer is option 'B'. Can you explain this answer?.
Sum of circumference of a circle and area of rectangle is 714 unit, if length of rectangle is two times of its breadth and diameter of circle is 21 cm. Find difference between length of rectangle and radius of circle ?a)24.5 cmb)25.5 cmc)23.5 cmd)22.5 cme)20.5 cmCorrect answer is option 'B'. 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 Sum of circumference of a circle and area of rectangle is 714 unit, if length of rectangle is two times of its breadth and diameter of circle is 21 cm. Find difference between length of rectangle and radius of circle ?a)24.5 cmb)25.5 cmc)23.5 cmd)22.5 cme)20.5 cmCorrect answer is option 'B'. 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 Sum of circumference of a circle and area of rectangle is 714 unit, if length of rectangle is two times of its breadth and diameter of circle is 21 cm. Find difference between length of rectangle and radius of circle ?a)24.5 cmb)25.5 cmc)23.5 cmd)22.5 cme)20.5 cmCorrect answer is option 'B'. Can you explain this answer?.
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Sum of circumference of a circle and area of rectangle is 714 unit, if length of rectangle is two times of its breadth and diameter of circle is 21 cm. Find difference between length of rectangle and radius of circle ?a)24.5 cmb)25.5 cmc)23.5 cmd)22.5 cme)20.5 cmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Sum of circumference of a circle and area of rectangle is 714 unit, if length of rectangle is two times of its breadth and diameter of circle is 21 cm. Find difference between length of rectangle and radius of circle ?a)24.5 cmb)25.5 cmc)23.5 cmd)22.5 cme)20.5 cmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Sum of circumference of a circle and area of rectangle is 714 unit, if length of rectangle is two times of its breadth and diameter of circle is 21 cm. Find difference between length of rectangle and radius of circle ?a)24.5 cmb)25.5 cmc)23.5 cmd)22.5 cme)20.5 cmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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