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Chapter 13: Q. 3 (page 528)

Calculate the area of the circle, using the formula given on page 446.

Compare this result with your computer approximations.

Short Answer

Expert verified

The area of the circle is 蟺4.

Step by step solution

01

Step-1 – Given

The given circle is:

02

Step-2 – To determine

We have to find the area of the circle with the help of formula given on page 446.

03

Step-3 – Calculation 

From the figure, the radius of the circle is 1.

We know that the formula for the area of the circle is:A=蟺r2.

Then we substitute 1 for r in the formula.

A=蟺12=蟺

Hence, the area of the total circle is 蟺.

From the figure, only one-fourth part of the circle is given. It means, the required area is one fourth of the total area.

A=蟺4

Therefore, the area of the circle is 蟺4.

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