1. Problem Solving Circles
Official US Coins

2. Below are some examples of US money, both coins and paper money
Below are some examples of US money, both coins and paper money. The following Math Lab uses US coins to solve problems with circles.

3. US money has been around since the mid 1600’s when our country was first established. We used English, Spanish, and French monies. The Massachusetts Bay Colony first issued paper money which would later help form the United States.

4. US coins have been around since the 1650’s
US coins have been around since the 1650’s. These coins below were first minted in New England in 1652.

5. Use the table to answer each question.
1) Which coin has the smallest radius? How long is that coin’s radius? 2) What is the circumference of a nickel? 3) What is the area of a quarter? 4) Which coin has a greater area, a dollar or half dollar? What is the difference in their areas?
Official US Coin Sizes Coin Diameter (mm) Penny 19 Nickel 21 Dime 28 Quarter 24 Half Dollar 31 Dollar 27
Use the table to answer each question.
Use 3.14 for π

6. Use the table to answer each question. Use 3.14 for π
Official US Coin Sizes Coin Diameter (mm) Penny 19 Nickel 21 Dime 28 Quarter 24 Half Dollar 31 Dollar 27
5) If you rolled a dollar coin on its edge, how far would it go each complete revolution (roll)? 6) Which US coins will fit in a vending machine slot that is 2 centimeters wide? 7) An engraving of Thomas Jefferson’s home, Monticello, covers about 1/3 of a nickel’s tails side. What is the area of the Monticello etching?
Use the table to answer each question. Use 3.14 for π

7. Use the table to answer each question.
8) The engraved words “United States of America” run about one-half the circumference of all US coins. On which coin will the words run about 38 mm? 9) A dime has 118 ridges evenly spaced along its circumference. About how wide is each ridge? a mm b mm c mm d mm 10) Your two coins together cover an area of about 540mm2. How much money do you have? a. $0.11 b. $1.10 c. $1.50 d. $0.35
Official US Coin Sizes Coin Diameter (mm) Penny 19 Nickel 21 Dime 28 Quarter 24 Half Dollar 31 Dollar 27
Use the table to answer each question.
Use 3.14 for π