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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

Solutions

Chapter
Section
BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

11-12 Significant Figures in Geometry Use geometric formula on the inside front cover of the book to solve these problems.

11 Find the circumference and the area of the circle whose radius is 5.27 ft .

To determine

The circumference and the area of the circle.

Explanation

Given:

The radius of the circle is 5.27ft.

Approach:

The formula for the circumference of the circle is,

C=2πr(1)

Here, C is the circumference and r is the radius of the circle.

The formula for area of the circle is,

A=πr2(2)

Here, A is the area of the circle.

The significant figures in a number are one from first nonzero digit to the last nonzero digit when reading from left to right.

When multiplying or dividing, round off the final result so that it has as many as significant digits as in the given values with the fewest number of significant digits.

Calculation:

Substitute 5.27ft for r in equation (1) to calculate C.

C=2π(5.27ft)=33

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