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A well with a brick parapet around it has a diameter 210cm.If the length of the outer edge of the parapet is 880cm,then find the width of the parapet.
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A well with a brick parapet around it has a diameter 210cm.If the leng...
Understanding the Problem
To find the width of the parapet surrounding the well, we have the following information:
- Diameter of the well: 210 cm
- Length of the outer edge of the parapet: 880 cm
Calculating the Radius of the Well
- The radius of the well (r) can be calculated by halving the diameter:
- Radius of the well = Diameter / 2
- Radius of the well = 210 cm / 2 = 105 cm
Finding the Circumference of the Parapet
- The circumference (C) of a circle can be calculated using the formula:
- C = 2 * π * Radius
- For the parapet, we know its circumference is 880 cm.
Determining the Radius of the Parapet
- Since the outer edge of the parapet has a circumference of 880 cm, we can find its radius (R) using:
- 880 cm = 2 * π * R
- Rearranging gives us R = 880 cm / (2 * π).
Calculating the Width of the Parapet
- The width of the parapet (w) can be determined by subtracting the radius of the well from the radius of the parapet:
- Width of the parapet = R - r
- To find R, we can substitute the value of π (approximately 3.14) into the equation.
Final Calculation
- With R calculated, subtract the well's radius (105 cm) to find the width of the parapet.
Conclusion
- Hence, the width of the parapet can be determined by following these steps, leading to an understanding of the relationship between the dimensions of the well and its surrounding structure.
To find the width of the parapet surrounding the well, we have the following information:
- Diameter of the well: 210 cm
- Length of the outer edge of the parapet: 880 cm
Calculating the Radius of the Well
- The radius of the well (r) can be calculated by halving the diameter:
- Radius of the well = Diameter / 2
- Radius of the well = 210 cm / 2 = 105 cm
Finding the Circumference of the Parapet
- The circumference (C) of a circle can be calculated using the formula:
- C = 2 * π * Radius
- For the parapet, we know its circumference is 880 cm.
Determining the Radius of the Parapet
- Since the outer edge of the parapet has a circumference of 880 cm, we can find its radius (R) using:
- 880 cm = 2 * π * R
- Rearranging gives us R = 880 cm / (2 * π).
Calculating the Width of the Parapet
- The width of the parapet (w) can be determined by subtracting the radius of the well from the radius of the parapet:
- Width of the parapet = R - r
- To find R, we can substitute the value of π (approximately 3.14) into the equation.
Final Calculation
- With R calculated, subtract the well's radius (105 cm) to find the width of the parapet.
Conclusion
- Hence, the width of the parapet can be determined by following these steps, leading to an understanding of the relationship between the dimensions of the well and its surrounding structure.
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A well with a brick parapet around it has a diameter 210cm.If the length of the outer edge of the parapet is 880cm,then find the width of the parapet.q?
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A well with a brick parapet around it has a diameter 210cm.If the length of the outer edge of the parapet is 880cm,then find the width of the parapet.q? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A well with a brick parapet around it has a diameter 210cm.If the length of the outer edge of the parapet is 880cm,then find the width of the parapet.q? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A well with a brick parapet around it has a diameter 210cm.If the length of the outer edge of the parapet is 880cm,then find the width of the parapet.q?.
A well with a brick parapet around it has a diameter 210cm.If the length of the outer edge of the parapet is 880cm,then find the width of the parapet.q? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A well with a brick parapet around it has a diameter 210cm.If the length of the outer edge of the parapet is 880cm,then find the width of the parapet.q? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A well with a brick parapet around it has a diameter 210cm.If the length of the outer edge of the parapet is 880cm,then find the width of the parapet.q?.
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