Answer:
π(441±0.2)
Explanation:
Given :
Radius = 21cm
Error in Radius = 0.1cm
We know that,
Area of circle = πr² , With r being radius,
Representing error with ∆,
=> ∆r = 0.1cm,
Let area be represented by A
=> A = πr² = π(21)² = 441π cm²
=> ∆A = 2π (∆r)
If you don't know how this is formed, Kindly refer your text book in the context of error, or simply you can apply differentiation to A with respect to r
=> ∆A = 2π(0.1) = 0.2π
=> Area with error = 441π ± 0.2π = π(441±0.2)
Therefore the answer is π(441±0.2)
Hope you understand,
If you still have any query kindly comment.
Thanking you,
Bunti 360 !
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Answers & Comments
Answer:
π(441±0.2)
Explanation:
Given :
Radius = 21cm
Error in Radius = 0.1cm
We know that,
Area of circle = πr² , With r being radius,
Representing error with ∆,
=> ∆r = 0.1cm,
Let area be represented by A
=> A = πr² = π(21)² = 441π cm²
=> ∆A = 2π (∆r)
If you don't know how this is formed, Kindly refer your text book in the context of error, or simply you can apply differentiation to A with respect to r
=> ∆A = 2π(0.1) = 0.2π
=> Area with error = 441π ± 0.2π = π(441±0.2)
Therefore the answer is π(441±0.2)
Hope you understand,
If you still have any query kindly comment.
Thanking you,
Bunti 360 !