Examples with solutions for Circumference: Worded problems

Exercise #1

Otis bought enough rope to create a circle with a diameter of 50 meters. He bought 100 meters of rope. Choose the correct answer:

Video Solution

Answer

57 meters more rope is required to create the circumference.

Exercise #2

The radius of a circle is 50 meters.

Andy uses this circles as a running track.

He completes a full circuit of the track exactly 4 times.

How far did Andy travel?

Video Solution

Answer

1256 1256

Exercise #3

The radius of the circle is 20 meters.

Create a running track from a semicircle whose two ends are connected by the diameter of the circle. Andrew ran this route once. How far did the man run?

Video Solution

Answer

20π+40 20\pi+40

Exercise #4

Daniel and Sara decide to see who can run the longest distance in half an hour.

Daniel runs around a circular track with a radius of 23 meters 5 times.

Sara runs around a track with a radius of 26 meters 8 times.

Who is the winner?

Video Solution

Answer

Sara

Exercise #5

Michael's chain is tangled in the shape of the drawing. How long is the chain?

333999

Video Solution

Answer

15π 15\pi cm

Exercise #6

A bicycle has wheels with radii measuring 40 cm.

How far does the bicycle travel after its wheels have made five full rotations?

Video Solution

Answer

12.56 m

Exercise #7

For a scientific experiment, Samuel needs to produce a wheel that makes exactly 17 turns over a distance that is 6.8 meters.
What should be the radius of the wheel?

Video Solution

Answer

12.732 cm

Exercise #8

Mirta ran at a rate of 7 minutes per kilometer.

She ran in a circular trajectory whose radius was 20 meters and performed it 4 times.

How long will Mirta run?

202020

Video Solution

Answer

3.52 minutes