/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 10 Use 3.14 for \(\pi\). Approxim... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 10

Use 3.14 for \(\pi\). Approximate the circumference of a circle whose radius is 10 cm.

Short Answer

Expert verified
The circumference is 62.8 cm.

Step by step solution

01

Identify the Formula

The formula to find the circumference of a circle is given by: \( C = 2 \times \pi \times r \)where \( C \) is the circumference, \( \pi \) is approximately 3.14, and \( r \) is the radius.
02

Substitute the Given Values

Substitute the given radius (\( r = 10 \) cm) and \( \pi = 3.14 \) into the formula:\( C = 2 \times 3.14 \times 10 \)
03

Perform the Calculation

Calculate the product:\( C = 2 \times 3.14 \times 10 = 6.28 \times 10 = 62.8 \)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

circle formula
The circle formula is essential for calculating different properties of circles. One of the most common formulas is for the circumference, which outlines the total distance around the circle. The formula is: \( C = 2 \pi \times r \). \It means \( C \) is the same as multiplying 2 by \( \pi \) and then by the radius, \( r \). \This formula helps you determine how long the edge of the circle is. \Knowing the circumference is useful in many real-world situations, like finding how much material is needed to go around a circular table or garden.
radius
The radius of a circle, usually denoted as \( r \), is the distance from the center of the circle to any point on its edge. Imagine drawing a line from the center of a pizza to its crust; that line is the radius. \In our example, the radius is 10 cm. \The radius is half of the diameter, which is the total distance across the circle through the center. \Understanding the radius is crucial because it helps you use other formulas related to circles, including the area and circumference.
pi approximation
The number \( \pi \) (pi) is a special mathematical constant representing the ratio of a circle's circumference to its diameter. Math enthusiasts celebrate this fascinating number on Pi Day, March 14th, since its decimal representation starts with 3.14. \For practical purposes, we often use the approximation of \( \pi \) as 3.14 to make calculations simpler. \Using 3.14 makes it easier to multiply and get a quick estimate. \Just remember, though, that \( \pi \) is actually an infinite, non-repeating decimal, so 3.14 is just a close estimate. \In more precise calculations or advanced mathematics, you might use more decimal places of \( \pi \), like 3.14159.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

For Exercises \(43-48\), write the decimal number representing each word name. The number of beehives in the United States is 2.6 million. (Source: U.S. Department of Agriculture)

Which number is between 3.12 and 3.13? Circle all that apply. a. 3.127 b. 3.129 c. 3.134 d. 3.139

For Exercises \(59-66,\) simplify the expressions. $$(-2.4)^{2}$$

Round the number to the indicated place value. $$\begin{array}{|l|l|l|l|l|l|} \hline & \text { Number } & \text { Hundreds } & \text { Tens } & \text { Tenths } & \text { Hundredths } & \text { Thousandths } \\ \hline& 971.0948 & & & & & \\ \hline & {} & & & & & \\ \hline & {} & & & & & \\ \hline \end{array}$$

When multiplying or dividing decimals, it is important to place the decimal point correctly. For Exercises 76鈥�79, determine whether you think the number is reasonable or unreasonable. If the number is unreasonable, move the decimal point to a position that makes more sense. Steve computed the gas mileage for his Honda Civic to be 3.2 miles per gallon.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.