Question

The radius of a circle is 1.22 m. Area

enclosed by it upto correct

significant figures is

1) 4.6778 m2 2) 4.677 m2

3) 4.67782 m2 4) 4.68 m2​

Answer 1

Step-by-step explanation:

R=1.22m

Area =πr²

=3.14x1.22x1.22=4.6759

After rounding off A=4.68m²

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Answer 2

The area of the circle up to correct significant figures is 4.68 m².

option(d) is the correct answer.

Given:

The radius(r) of a circle is 1.22 m.

To Find:

The area of the circle up to correct significant figures.

Solution:

We are required to find the area of the circle up to correct significant figures.

The area of a circle is given as A = πr²  --------(1)

r = 1.22 m

On substituting the value of radius(r) in equation(1) we get

A = 3.14×(1.22)²

A = (22×1.22×1.22)/7

A = 4.67782 m²    ---------(2)

But actually, the significant figure of the radius of the circle is 3.

So the significant figure of the area of the circle is also to be 3.

On rounding off equation(2) we get

Area of the circle, A = 4.68 m²

Therefore, The area of the circle up to correct significant figures is 4.68 m².

Hence, option(d) is the correct answer.

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