   Chapter 1, Problem 8RPS

Chapter
Section
Textbook Problem

A compact disc has a diameter of 11.8 cm. What is the surface area of the disc in square centimeters? In square meters? [Area of a circle = (π)(radius)2]

Interpretation Introduction

Interpretation: The area of the disc in square centimeters and in square meters has to be given.

Concept Introduction:

Surface area of circle: Surface area = π r2

Conversion of centimeters to meters:1cm = 0.01 m

Explanation

The area of disc in square centimeters and square meters is calculated as,

Area of the disc in square centimeters:

Given:diameter (r2) = 11.8 cm.Surface Area of circle (disc) = πr2                                         = 3.14×(11.8 cm)2                                         = 437.21 cm2

The obtained area of the disc in square centimeters is 437

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