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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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When radii O A ¯ and O B ¯ are placed so that they coincide, a 240 sector of a circle is sealed to form a right circular cone. If the length of the radius of the circle is 6.4 cm, what is the length of the approximate lateral area of the cone that is formed? Use a calculator and round the answer to the nearest tenth of a square inch.

Chapter 9.3, Problem 48E, When radii OA and OB are placed so that they coincide, a 240 sector of a circle is sealed to form a

To determine

To find:

The approximate lateral area of the cone that is formed.

Explanation

Given:

When radii OA and OB are placed so that they coincide, a 240 sector of a circle is sealed to form a right circular cone. The radius of the circle is 6.4 cm.

Calculation:

In a circle of radius r, the area of the sector whose arc measure is m is A=m360πr2.

We know 1 inch=2.54 cm

We have r=6.4 cm

r=6.42.54 in2.52 in

We have m=240,r=2

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