Question

the measurement of radius of a circle has error of 1%. the error in measurement of its area is _________. answer with proper solution ​

Answer 1

Answer:

area of circle(A)=πr²

answer error in area of circle is 2%

Answer 2

The error in measurement of its area is 2%.

Explanation:

Let the radius of the circle, R.

The area of the circle is given as

$A=\pi R^2$

Given the error in the measurement of the radius of the circle = 1%.

Therefore,

$\frac{\Delta R}{R}=0.01$

So, error in area,

$\frac{\Delta A}{A}=2\frac{\Delta R}{R}$

substitute the values, we get

$\frac{\Delta A}{A}=2\times0.01$

= 0.02 = 2%.

Thus, the error in measurement of its area is 2%.

#Learn More: area of the circle.

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