/*! 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 2 United States coins are circle... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Problem 2

United States coins are circles of varying sizes. Choose a quarter, dime, nickel, and penny. a. Use a tape measure (or ruler) to estimate the diameter of each coin in centimeters. b. Calculate the area of each coin to the nearest hundredth.

Short Answer

Expert verified
Answer: The steps to measure the diameter and calculate the areas are as follows: 1. Measure the diameter of each coin (quarter, dime, nickel, and penny) in centimeters using a tape measure or ruler. 2. Write down the formula for the area of a circle: Area = (蟺/4) * d^2, where 'd' is the diameter. 3. Calculate the area of each coin using the measured diameter and the area formula. 4. Note down the calculated areas for each coin to the nearest hundredth.

Step by step solution

01

Measure the diameter of each coin

First, take a quarter, dime, nickel, and penny. Use a tape measure or ruler to measure the diameter of each coin in centimeters. Write down the estimated diameter of each coin. Note that the measurements might be different for different sets of coins as it depends on the real-life measurements.
02

Write down the formula for the area of a circle

To calculate the area of each coin, which are circle-shaped, we need to use the formula for the area of a circle: Area = 蟺 * r^2, where 'r' is the radius of the circle. Since the diameter 'd' is twice the radius, the formula can also be written as: Area = (蟺/4) * d^2, where 'd' is the diameter.
03

Calculate the area of each coin using the formula

Using the measured diameter and the area formula, calculate the area of each coin. To do this, we will first replace the 'd' values of the formula with the diameters we measured in step 1. Then, calculate the areas to the nearest hundredth. For example, if the diameter of the quarter is measured as 2.4 cm, the area would be calculated as: Area of Quarter = (蟺/4) * (2.4)^2 = 4.52 cm^2 (rounded to the nearest hundredth) Repeat the same process for the dime, nickel, and penny, using their respective measured diameters.
04

Note down the calculated areas for each coin

The calculated areas for each coin to the nearest hundredth will be the result of the exercise. For example: - Area of Quarter = 4.52 cm^2 - Area of Dime = 1.95 cm^2 - Area of Nickel = 2.76 cm^2 - Area of Penny = 2.09 cm^2 These values might be slightly different depending on the measurements taken in step 1, but this step-by-step process will guide the student through the steps required to complete the exercise.

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!

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

Leonardo da Vinci's painting of the Last Supper is a \(460-\mathrm{cm}\) by \(880-\mathrm{cm}\) rectangle. a. Calculate its perimeter. b. Would the painting fit in your living room? Explain.
The diameter of Earth is \(12,742\) kilometers; the diameter of the Moon is 3476 kilometers. a. If you flew around Earth by following the equator at a height of 10 kilometers, how many trips around the Moon could you take in the same amount of time, at the same height from the Moon, and at the same speed? Explain.
A basketball has a radius of approximately 4.75 inches. a. Compute the basketball鈥檚 surface area. b. Why would someone want to know this surface area?

You are buying plywood to board up your windows in preparation for Hurricane Euclid. In the master bedroom you have a Norman window (in the shape of a rectangle with a semicircular top). You need to calculate the area of the window. If the rectangular part of the window is 4 feet wide and 5 feet tall, what is the area of the entire window? Explain.
The Bermuda Triangle is an imaginary triangular area in the Atlantic Ocean in which there have been many unexplained disappearances of boats and planes. Public interest was aroused by the publication of a popular and controversial book, The Bermuda Triangle, by Charles Berlitz in 1974\. The triangle starts at Miami, Florida, goes to San Juan, Puerto Rico (1038 miles), then to Bermuda \((965 \text { miles ) and hark to Miami ( } 104\) ? miles) a. What is the perimeter of this triangle? b. If you were on a plane that was averaging 600 miles per hour, how long would it take you to fly the perimeter of the Bermuda Triangle?
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Geometry

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.