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If the circumference of a circular sheet is 154 m, find its radius also find the area of the sheet (take pie = 22 opponent = 7?
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If the circumference of a circular sheet is 154 m, find its radius als...
Circumference of the Circular Sheet
The circumference (C) of a circle is given by the formula:
C = 2 * π * r
Where:
- C = Circumference
- π (pi) = 22/7 (as per the given information)
- r = Radius
Given that the circumference is 154 m, we can set up the equation:
154 = 2 * (22/7) * r
Now, let's solve for the radius (r).
Finding the Radius
To isolate r, we rearrange the equation:
1. Multiply both sides by 7 to eliminate the fraction:
154 * 7 = 2 * 22 * r
1078 = 44 * r
2. Now, divide both sides by 44:
r = 1078 / 44
r = 24.5 m
Thus, the radius of the circular sheet is 24.5 m.
Calculating the Area of the Sheet
The area (A) of a circle can be calculated using the formula:
A = π * r²
Using the radius we found:
1. Substitute the value of r into the area formula:
A = (22/7) * (24.5)²
2. Calculate (24.5)²:
(24.5)² = 600.25
3. Now, calculate the area:
A = (22/7) * 600.25
A = 22 * 85.0357 (approx.)
A ≈ 1871 m²
Final Results
- The radius of the circular sheet is 24.5 m.
- The area of the sheet is approximately 1871 m².
The circumference (C) of a circle is given by the formula:
C = 2 * π * r
Where:
- C = Circumference
- π (pi) = 22/7 (as per the given information)
- r = Radius
Given that the circumference is 154 m, we can set up the equation:
154 = 2 * (22/7) * r
Now, let's solve for the radius (r).
Finding the Radius
To isolate r, we rearrange the equation:
1. Multiply both sides by 7 to eliminate the fraction:
154 * 7 = 2 * 22 * r
1078 = 44 * r
2. Now, divide both sides by 44:
r = 1078 / 44
r = 24.5 m
Thus, the radius of the circular sheet is 24.5 m.
Calculating the Area of the Sheet
The area (A) of a circle can be calculated using the formula:
A = π * r²
Using the radius we found:
1. Substitute the value of r into the area formula:
A = (22/7) * (24.5)²
2. Calculate (24.5)²:
(24.5)² = 600.25
3. Now, calculate the area:
A = (22/7) * 600.25
A = 22 * 85.0357 (approx.)
A ≈ 1871 m²
Final Results
- The radius of the circular sheet is 24.5 m.
- The area of the sheet is approximately 1871 m².
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If the circumference of a circular sheet is 154 m, find its radius also find the area of the sheet (take pie = 22 opponent = 7?
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If the circumference of a circular sheet is 154 m, find its radius also find the area of the sheet (take pie = 22 opponent = 7? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If the circumference of a circular sheet is 154 m, find its radius also find the area of the sheet (take pie = 22 opponent = 7? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the circumference of a circular sheet is 154 m, find its radius also find the area of the sheet (take pie = 22 opponent = 7?.
If the circumference of a circular sheet is 154 m, find its radius also find the area of the sheet (take pie = 22 opponent = 7? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If the circumference of a circular sheet is 154 m, find its radius also find the area of the sheet (take pie = 22 opponent = 7? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the circumference of a circular sheet is 154 m, find its radius also find the area of the sheet (take pie = 22 opponent = 7?.
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