Parts of a circle: radius, diameter, circumference and area

Answer Key - Grade 7 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   A round pond has a radius of 12 m. How far does Bo walk once around its edge? Use 3.14 for π.

   75.36 m
2. 2.

   A Ferris wheel has a radius of 45 ft. How far does a seat travel in one full turn, Esme? Use 3.14 for π.

   282.6 ft
3. 3.

   Jun's round rug has a radius of 28 in. How long is the fringe needed to go all the way around it? Use 3.14 for π.

   175.84 in
4. 4.

   A drum is 50.24 cm around. Kira wants to know how far across (the diameter) it is. Use 3.14 for π.

   16 cm
5. 5.

   Luz's round plate is 87.92 cm around. How many cm across (the diameter) is the plate? Use 3.14 for π.

   28 cm
6. 6.

   A tree trunk is 113.04 cm around. Milo wants its diameter, the distance straight across. Use 3.14 for π.

   36 cm
7. 7.

   Noah measures a round bowl and finds it is 69.08 cm around. How many cm across is the bowl? Use 3.14 for π.

   22 cm
8. 8.

   Ren wants a quick estimate, without a calculator, of the distance around a round trampoline that is 4 m across. Which estimate is the most reasonable?

   • About 8 m, because the distance around is twice the 4 m across.
   • About 6 m, because the distance around is 3 times half the 4 m across.
   • About 16 m, because the distance around is 4 times the 4 m across.
   • About 12 m, a little more than 3 times the 4 m across.
9. 9.

   Tala's round rug is 2 m across. Edge fringe is sold by the meter and top cleaner by the square meter. Which pair of amounts is right? Use 3.14 for π.

   • Fringe: 3.14 m (area). Cleaner: 6.28 square m (circumference).
   • Fringe: 6.28 m (circumference). Cleaner: 3.14 square m (area).
   • Fringe: 6.28 m (circumference). Cleaner: 12.56 square m (area).
   • Fringe: 12.56 m (circumference). Cleaner: 3.14 square m (area).
10. 10.

    Milo says a bike wheel that is 70 cm across rolls about 70 cm in one turn. Zee disagrees. Which response is best?

    • One turn rolls about 140 cm, because the distance around is twice the 70 cm across.
    • One turn rolls the distance around, about 220 cm, a little over 3 times the 70 across.
    • Milo is right, because one turn rolls the distance across, which is the 70 cm diameter.
    • One turn rolls about 35 cm, because the wheel rolls its radius each turn.