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If the circumference of a circular sheet is 132 cm. Its radius and area will be _____cm and _____cm2.
- a)21,1386
- b)22, 1386
- c)21,1486
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
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If the circumference of acircular sheet is 132 cm. Its radius and area...
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If the circumference of acircular sheet is 132 cm. Its radius and area...
Understanding Circumference
The circumference (C) of a circle is given by the formula:
C = 2 * π * r
Where:
- C is the circumference.
- r is the radius.
- π (pi) is approximately 3.14.
Given that the circumference of the circular sheet is 132 cm, we can rearrange the formula to find the radius.
Calculating the Radius
- To find the radius (r), we rearrange the formula:
r = C / (2 * π)
- Substituting the given circumference:
r = 132 / (2 * 3.14)
- This simplifies to:
r = 132 / 6.28
- Therefore:
r ≈ 21 cm
Calculating the Area
The area (A) of a circle is calculated with the formula:
A = π * r²
- Now, substituting the radius we found:
A = 3.14 * (21)²
- Calculating the square of the radius:
A = 3.14 * 441
- Thus, the area approximately equals:
A ≈ 1386 cm²
Final Values
- Radius: 21 cm
- Area: 1386 cm²
Correct Answer
The correct option is a) 21, 1386.
The circumference (C) of a circle is given by the formula:
C = 2 * π * r
Where:
- C is the circumference.
- r is the radius.
- π (pi) is approximately 3.14.
Given that the circumference of the circular sheet is 132 cm, we can rearrange the formula to find the radius.
Calculating the Radius
- To find the radius (r), we rearrange the formula:
r = C / (2 * π)
- Substituting the given circumference:
r = 132 / (2 * 3.14)
- This simplifies to:
r = 132 / 6.28
- Therefore:
r ≈ 21 cm
Calculating the Area
The area (A) of a circle is calculated with the formula:
A = π * r²
- Now, substituting the radius we found:
A = 3.14 * (21)²
- Calculating the square of the radius:
A = 3.14 * 441
- Thus, the area approximately equals:
A ≈ 1386 cm²
Final Values
- Radius: 21 cm
- Area: 1386 cm²
Correct Answer
The correct option is a) 21, 1386.
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If the circumference of acircular sheet is 132 cm. Its radius and area will be _____cm and _____cm2.a)21,1386b)22, 1386c)21,1486d)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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