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 $\frac{π}{4}$ .

Step by step solution

Step-1 – Given

The given circle is:

Step-2 – To determine

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

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: $A = π r^{2}$ .

Then we substitute 1 for r in the formula.

$\begin{matrix} A = π {(1)}^{2} \\ = π \end{matrix}$

Hence, the area of the total circle is $π$ .

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

$A = \frac{π}{4}$

Therefore, the area of the circle is $\frac{π}{4}$ .

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Calculate the area of the circle, using the formula given on page 446.
Compare this result with your computer approximations.

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

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Calculate the area of the circle, using the formula given on page 446.Compare this result with your computer approximations.

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

Probability and Statistics

Logic and Functions

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Calculate the area of the circle, using the formula given on page 446.
Compare this result with your computer approximations.