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The cost of building a fence around a circular field is Rs. 7,700 at the rate of Rs. 14 per foot. What is the area of the circular field?
- a)24062.5 sq. ft.
- b)23864.4 sq. ft.
- c)24644.5sq. ft.
- d)Cannot be determined
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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The cost of building a fence around a circular field is Rs. 7,700 at t...
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Given:
- Cost of building a fence around a circular field is Rs. 7,700.
- Rate of Rs. 14 per foot.
To find:
- Area of the circular field.
Formula:
- The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
- The formula to calculate the area of a circle is A = πr^2, where A is the area and r is the radius.
Calculation:
Let's assume the radius of the circular field to be 'r' ft.
1. Calculating the circumference:
- The cost of building the fence is given as Rs. 7,700.
- The rate is given as Rs. 14 per foot.
- So, the length of the fence can be calculated as 7700 / 14 = 550 ft (approx).
- Using the formula for circumference, we have:
550 = 2πr
- Solving for r, we get:
r = 550 / (2π)
r ≈ 87.347 ft
2. Calculating the area:
- Using the formula for area, we have:
A = πr^2
A = π(87.347)^2
A ≈ 24062.5 sq. ft
Therefore, the area of the circular field is approximately 24062.5 sq. ft.
Hence, the correct answer is option A) 24062.5 sq. ft.
- Cost of building a fence around a circular field is Rs. 7,700.
- Rate of Rs. 14 per foot.
To find:
- Area of the circular field.
Formula:
- The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
- The formula to calculate the area of a circle is A = πr^2, where A is the area and r is the radius.
Calculation:
Let's assume the radius of the circular field to be 'r' ft.
1. Calculating the circumference:
- The cost of building the fence is given as Rs. 7,700.
- The rate is given as Rs. 14 per foot.
- So, the length of the fence can be calculated as 7700 / 14 = 550 ft (approx).
- Using the formula for circumference, we have:
550 = 2πr
- Solving for r, we get:
r = 550 / (2π)
r ≈ 87.347 ft
2. Calculating the area:
- Using the formula for area, we have:
A = πr^2
A = π(87.347)^2
A ≈ 24062.5 sq. ft
Therefore, the area of the circular field is approximately 24062.5 sq. ft.
Hence, the correct answer is option A) 24062.5 sq. ft.
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The cost of building a fence around a circular field is Rs. 7,700 at the rate of Rs. 14 per foot. What is the area of the circular field?a)24062.5 sq. ft.b)23864.4 sq. ft.c)24644.5sq. ft.d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer?
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The cost of building a fence around a circular field is Rs. 7,700 at the rate of Rs. 14 per foot. What is the area of the circular field?a)24062.5 sq. ft.b)23864.4 sq. ft.c)24644.5sq. ft.d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The cost of building a fence around a circular field is Rs. 7,700 at the rate of Rs. 14 per foot. What is the area of the circular field?a)24062.5 sq. ft.b)23864.4 sq. ft.c)24644.5sq. ft.d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of building a fence around a circular field is Rs. 7,700 at the rate of Rs. 14 per foot. What is the area of the circular field?a)24062.5 sq. ft.b)23864.4 sq. ft.c)24644.5sq. ft.d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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