Circumference of Circles
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 7 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
- 6
- 7
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- Answered
- Review
-
Question 1 of 7
1. Question
Find the circumference of the circleRound your answer to 2 decimal placesUse π=3.14- Circumference = (37.68, 37.70, 37.71) cm
Hint
Help VideoCorrect
Great Work!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Chapters- Chapters
Circumference Formula
Circumference=2×π×radiusGiven Lengths
radius=6Solve for the circumference using the formula C=2πrUse π=3.14 See π explainedCircumference = 2×π×radius Circumference Formula = 2×3.14×6 Plug in the known values = 6.28×6 Evaluate = 37.68 cm Circumference=37.68 cmThe answer will depend on which π you use.In this solution we use: π=3.14.Using Answer π=3.14 37.68 cm π=3.141592654 37.70 cm π=227 37.71 cm -
Question 2 of 7
2. Question
Find the circumference of the circleRound your answer to 1 decimal placeUse π=227 or π=3.14- Circumference = (50.3, 50.2) cm
Hint
Help VideoCorrect
Correct!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Chapters- Chapters
Circumference Formula
Circumference=2×π×radiusGiven Lengths
radius=8Solve for the circumference using the formula C=2πrUse π=227 See π explainedCircumference = 2×π×radius Circumference Formula = 2×227×8 Plug in the known values = 447×8 Evaluate = 3527 352÷7 = 50.28571 = 50.3 cm Rounded off to 1 decimal place Circumference=50.3 cmThe answer will depend on which π you use.In this solution we use: π=227.Using Answer π=227 50.3 cm π=3.14 50.2 cm π=3.141592654 50.3 cm -
Question 3 of 7
3. Question
Find the circumference of the CircleRound your answer to 1 decimal placeUse π=3.14- Circumference = (47.1) cm
Hint
Help VideoCorrect
Keep Going!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Chapters- Chapters
Circumference Formula (using diameter)
Circumference=π×diameterGiven Lengths
diameter=15Solve for the circumference using the formula C=πdUse π=3.14 See π explainedCircumference = π×diameter Circumference Formula = 3.14×15 Plug in the known values = 47.1 cm Circumference=47.1 cmThe answer will depend on which π you use.In this solution we used: π=3.14.Using Answer π=3.14 47.1 cm π=3.141592654 47.1 cm π=227 47.1 cm -
Question 4 of 7
4. Question
Find the circumference of the circleRound your answer to 1 decimal placeUse π=227 or π=3.14- Circumference = (163.4, 163.3) mm
Hint
Help VideoCorrect
Fantastic!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Chapters- Chapters
Circumference Formula
Circumference=2×π×radiusGiven Lengths
diameter=52First, find the radius of the circle. Note that the radius is half of the diameter.Radius = 12×diameter = 12×52 Radius = 26 Solve for the circumference using the formula C=2πrUse π=227 See π explainedCircumference = 2×π×radius Circumference Formula = 2×227×26 Plug in the known values = 447×26 Evaluate = 11447 1144÷7 = 163.42857 = 163.4 mm Rounded to 1 decimal place Circumference=163.4 mmThe answer will depend on which π you use.In this solution we use: π=227.Using Answer π=227 163.4 mm π=3.14 163.3 mm π=3.141592654 163.4 mm -
Question 5 of 7
5. Question
Find the perimeter of the Semi-circleRound your answer to 1 decimal placeUse π=3.141592654- Perimeter = (102.8, 102.9) mm
Hint
Help VideoCorrect
Excellent!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Chapters- Chapters
Perimeter of a Semicircle
Perimeter=12×π×diameterGiven Lengths
diameter=40Solve for the perimeter using the formulaUse π=3.141592654 See π explainedPerimeterSemicircle = 12×π×diameter Circumference of a Semi-Circle Formula = 12×3.141592654×40 Plug in the known values = 62.8318 mm Note that 62.8318 mm is just the curve of the SemicircleAdd the length of the Line under the curve which is equal to the diameter.Final Perimeter = 62.8318 +40 = 102.8318 mm = 102.8 mm Rounded to 1 decimal place Perimeter=102.8 mmThe answer will depend on which π you use.In this solution we used: π=3.141592654.Using Answer π=3.141592654 102.8 mm π=3.14 102.8 mm π=227 102.9 mm -
Question 6 of 7
6. Question
Find the perimeter of the shapeRound your answer to 1 decimal placeUse π=3.141592654- Perimeter = (41.1) cm
Hint
Help VideoCorrect
Nice Job!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Chapters- Chapters
Perimeter of a Semicircle
Perimeter=12×π×diameterGiven Lengths
diameter=9Solve for the perimeter of the SemicirleUse π=3.141592654 See π explainedPerimeterSemicircle = 12×π×diameter Circumference Formula = 12×3.141592654×9 Plug in the known values = 14.13716 cm Find the perimeter of the Square by adding all the sidesAll sides of a regular square are equalThe top side of the square is connected to the semi-circle so we don’t add the top side.PerimeterSquare = 9+9+9 Add the 3 sides = 27 cm Now add the two perimetersTotal Perimeter = 14.13716+27 = 41.13716 = 41.1 cm Rounded to 1 decimal place Perimeter=41.1 cmThe answer will depend on which π you use.In this solution we used: π=3.141592654.Using Answer π=3.141592654 41.1 cm π=3.14 41.1 cm π=227 41.1 cm -
Question 7 of 7
7. Question
Find the perimeter of the shapeNote that the radius of the larger semi-circle is 12cm.Round your answer to 1 decimal placeUse π=3.141592654- Perimeter = (68.5, 68.6) cm
Hint
Help VideoCorrect
Exceptional!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Chapters- Chapters
Perimeter of a Semicircle
Perimeter=12×π×diameterOrPerimeter=π×radiusGiven Lengths
diameter (Smaller Semicircle)=12radius (Larger Semicircle)=12Solve for the perimeter of the Larger SemicircleUse π=3.141592654 See π explainedPerimeterLarger Semicircle = π×radius Perimeter of a Semicircle Formula = 3.141592654×12 Plug in the known values = 37.69911 cm Solve for the perimeter of the Smaller SemicircleUse π=3.141592654 See π explainedPerimeterSmaller Semicircle = 12×π×diameter Perimeter of a Semicircle Formula = 12×3.141592654×12 Plug in the known values = 18.84955 cm Now add the two perimetersPerimeter = 37.69911+18.84955 = 56.54866 cm = 56.5 cm Rounded to 1 decimal place Finally, add the value of the straight line, which is 12, to get the
total perimeterTotal Perimeter = 56.5 +12 = 68.5 cm Perimeter=68.5 cmThe answer will depend on which π you use.In this solution we used: π=3.141592654.Using Answer π=3.141592654 68.5 cm π=3.14 68.5 cm π=227 68.6 cm