/*! 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 8 Find the circumference of a circ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 8

Find the circumference of a circle with a diameter of \(13 \mathrm{~cm}\).

Short Answer

Expert verified
The circumference is approximately 40.84 cm.

Step by step solution

01

- Understand the formula

To find the circumference of a circle, use the formula: \[ C = \pi \times d \] where \( C \) is the circumference and \( d \) is the diameter of the circle.
02

- Identify the given values

From the problem, the diameter \( d \) of the circle is given as \( 13 \mathrm{~cm} \).
03

- Substitute the values into the formula

Replace \( d \) with \( 13 \mathrm{~cm} \) in the formula: \[ C = \pi \times 13 \mathrm{~cm} \]
04

- Calculate the circumference

Calculate the product to find the circumference: \[ C = \pi \times 13 \mathrm{~cm} \approx 40.84 \mathrm{~cm} \] (Note: The value of \pi \ is approximately 3.14)

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.

Geometry
Geometry is a branch of mathematics that studies shapes, sizes, and properties of figures. It includes concepts like points, lines, planes, angles, and surfaces. One important shape in geometry is the circle. Understanding geometric principles helps solve problems related to measurement and dimensions. By learning about the properties of circles, you can easily find measurements like the circumference, diameter, and area.
Circle Calculations
To calculate various measurements of a circle, you need to know certain key formulas. The main components of a circle include the diameter, radius, and circumference.
The diameter is the distance across the circle, passing through the center. The radius is half of the diameter and extends from the center to the edge of the circle. The circumference is the total distance around the circle.
To find the circumference, you can use the formula:

  • For circles where the diameter (\( d\) is known: \[ C = \pi \times d\]
  • For circles where the radius (\( r \)) is known:\[ C = 2 \pi \times r\]
Knowing these formulas makes it easy to switch between different measurements and solve various circle-related problems.
Mathematical Formulas
Mathematical formulas are essential tools that help solve problems quickly and accurately. To find the circumference of a circle, you need to know the formula \(C = \pi \times d\) where \( C \) is the circumference and \(d\) is the diameter.

By substituting the given diameter (13 cm) into the formula, you get:

\(C = \pi \times 13 \approx 40.84 \mathrm{cm}\).
Using the approximate value of \(\pi\) (3.14) simplifies calculations and provides a practical way to determine the circumference.

Practicing these formulas builds a strong foundation for more complex mathematical concepts and improves problem-solving skills.

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

The original price of a phone is \(\$ 199\). If it is marked down \(32 \%\), find the sale price.

An employee works for 8 hours at \(\$ 9.25\) per hour. The employer withholds \(7.65 \%\) of his gross wages for Social Security and Medicare taxes. Find the amount of wages after with holding.

Find the volume of a cone with a radius of 6 in. and a height of 11 in.

A restaurant bill is \(\$ 48\). If the tip is \(15 \%\) of the bill, find the total cost of the meal including tip.

The shape of a building lot is a trapezoid with bases that measure \(150 \mathrm{ft}\) and \(400 \mathrm{ft}\). The height is \(220 \mathrm{ft}\). Find the area of the lot.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

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.