Question

if a=16.2cm ± 0.1cm, b=10.1±0.1cm. Find the area with absolute error.

Pls answer fast! ​

Answer 1

Given:-

a = 16.2 cm ± 0.1 cm

b = 10.1 cm ± 0.1 cm

To find :-

Area with absolute error.

Solution:-

Area is given by = ab

Using the combination rule of errors :-

Error of a product:-

[Z ± ∆Z = AB ± B∆A ± A∆B ± ∆A∆B ]

ab = (16.2 × 10.1) ± 10×0.1 ±16.2 × 0.1 ± 0.1 × 0.1

ab = 163.62 ± 1 ± 1.62 ± 0.01

ab = 163.62 ± 2.63

ab = 163.62 ± 2.63 hence, area is 164 ± 3 cm².

Answer 2

Answer:

164±3cm²

Explanation:

Given Problem:

If a=16.2cm ± 0.1cm, b=10.1±0.1cm. Find the area with absolute error.

Solution:

To Find:

The area with absolute error.

------------

Method:

Let the area is will be "x"

Here,

We have to use:

"The combination rule of errors"

Error of a product:

[Z ± ∆Z = AB ± B∆A ± A∆B ± ∆A∆B ]

=>x = (16.2×10.1) ±10×0.1±16.2×0.1±0.1×0.1

=>x= 163.62±1±1.62±0.01

=>x =163.62±2.63

Hence,

The area with absolute error is 164±3cm²