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A lawn mover takes 600 complete revolutions to move the lawn find the area of the lawn if the diameter of the lawnmower is 42 cm and length is 1.5 metre?
Most Upvoted Answer
A lawn mover takes 600 complete revolutions to move the lawn find the ...
Given data:
- Diameter of the lawnmower = 42 cm
- Length of the lawnmower = 1.5 meters
- Number of complete revolutions = 600
Calculating the circumference of the lawnmower:
- The diameter of the lawnmower is given as 42 cm, which means the radius is half of the diameter, i.e., 21 cm.
- The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius.
- Substituting the values, we have C = 2 * 3.14 * 21 = 131.88 cm.
Calculating the distance covered by the lawnmower:
- The distance covered by the lawnmower in one complete revolution is equal to the circumference of the lawnmower.
- Therefore, the distance covered in 600 complete revolutions is 600 * 131.88 = 79,128 cm.
Converting the length of the lawnmower:
- The given length of the lawnmower is in meters, and we need to convert it to centimeters to match the distance covered.
- 1 meter is equal to 100 centimeters.
- Therefore, the length of the lawnmower in centimeters is 1.5 * 100 = 150 cm.
Calculating the area of the lawn:
- The area of the lawn can be calculated by multiplying the distance covered by the lawnmower with the length of the lawnmower.
- Therefore, the area of the lawn is 79,128 cm * 150 cm = 11,869,200 square centimeters.
Final Answer:
The area of the lawn is 11,869,200 square centimeters.
- Diameter of the lawnmower = 42 cm
- Length of the lawnmower = 1.5 meters
- Number of complete revolutions = 600
Calculating the circumference of the lawnmower:
- The diameter of the lawnmower is given as 42 cm, which means the radius is half of the diameter, i.e., 21 cm.
- The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius.
- Substituting the values, we have C = 2 * 3.14 * 21 = 131.88 cm.
Calculating the distance covered by the lawnmower:
- The distance covered by the lawnmower in one complete revolution is equal to the circumference of the lawnmower.
- Therefore, the distance covered in 600 complete revolutions is 600 * 131.88 = 79,128 cm.
Converting the length of the lawnmower:
- The given length of the lawnmower is in meters, and we need to convert it to centimeters to match the distance covered.
- 1 meter is equal to 100 centimeters.
- Therefore, the length of the lawnmower in centimeters is 1.5 * 100 = 150 cm.
Calculating the area of the lawn:
- The area of the lawn can be calculated by multiplying the distance covered by the lawnmower with the length of the lawnmower.
- Therefore, the area of the lawn is 79,128 cm * 150 cm = 11,869,200 square centimeters.
Final Answer:
The area of the lawn is 11,869,200 square centimeters.
Community Answer
A lawn mover takes 600 complete revolutions to move the lawn find the ...
Area=1386cm2
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A lawn mover takes 600 complete revolutions to move the lawn find the area of the lawn if the diameter of the lawnmower is 42 cm and length is 1.5 metre?
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A lawn mover takes 600 complete revolutions to move the lawn find the area of the lawn if the diameter of the lawnmower is 42 cm and length is 1.5 metre? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A lawn mover takes 600 complete revolutions to move the lawn find the area of the lawn if the diameter of the lawnmower is 42 cm and length is 1.5 metre? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A lawn mover takes 600 complete revolutions to move the lawn find the area of the lawn if the diameter of the lawnmower is 42 cm and length is 1.5 metre?.
A lawn mover takes 600 complete revolutions to move the lawn find the area of the lawn if the diameter of the lawnmower is 42 cm and length is 1.5 metre? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A lawn mover takes 600 complete revolutions to move the lawn find the area of the lawn if the diameter of the lawnmower is 42 cm and length is 1.5 metre? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A lawn mover takes 600 complete revolutions to move the lawn find the area of the lawn if the diameter of the lawnmower is 42 cm and length is 1.5 metre?.
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