Circumference of Circles
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Question 1 of 7
1. Question
Find the circumference of the circle
Round your answer to `2` decimal placesUse `pi=3.14`- `\text(Circumference )=` (37.68, 37.70, 37.71) `cm`
Hint
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Circumference Formula
`\text(Circumference) =2 xx pi xx ``\text(radius)`Given Lengths
`\text(radius)=6`
Solve for the circumference using the formula `C=2pi``r`Use `pi=3.14` See `pi` explained`\text(Circumference)` `=` `2 xx pi xx ``\text(radius)` Circumference Formula `=` `2 times 3.14 times ``6` Plug in the known values `=` `6.28 times 6` Evaluate `=` `37.68 cm` `\text(Circumference)=37.68 cm`The answer will depend on which `pi` you use.In this solution we use: `pi=3.14`.Using Answer `pi=3.14` `37.68 cm` `pi=3.141592654` `37.70 cm` `pi=(22)/(7)` `37.71 cm` -
Question 2 of 7
2. Question
Find the circumference of the circle
Round your answer to `1` decimal placeUse `pi=22/7 \text(or) pi=3.14`- `\text(Circumference )=` (50.3, 50.2) `cm`
Hint
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Circumference Formula
`\text(Circumference) =2 xx pi xx ``\text(radius)`Given Lengths
`\text(radius)=8`
Solve for the circumference using the formula `C=2pi``r`Use `pi=22/7` See `pi` explained`\text(Circumference)` `=` `2 xx pi xx``\text(radius)` Circumference Formula `=` `2 times 22/7 times ``8` Plug in the known values `=` `44/7 times 8` Evaluate `=` `352/7` `352 divide 7` `=` `50.28571` `=` `50.3 cm` Rounded off to `1` decimal place `\text(Circumference)=50.3 cm`The answer will depend on which `pi` you use.In this solution we use: `pi=22/7`.Using Answer `pi=(22)/(7)` `50.3 cm` `pi=3.14` `50.2 cm` `pi=3.141592654` `50.3 cm` -
Question 3 of 7
3. Question
Find the circumference of the Circle
Round your answer to `1` decimal placeUse `pi=3.14`- `\text(Circumference )=` (47.1) `cm`
Hint
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Circumference Formula (using diameter)
`\text(Circumference) =pi xx ``\text(diameter)`Given Lengths
`\text(diameter)=15`
Solve for the circumference using the formula `C=pi``d`Use `pi=3.14` See `pi` explained`\text(Circumference)` `=` `pi xx``\text(diameter)` Circumference Formula `=` `3.14 times ``15` Plug in the known values `=` `47.1 cm` `\text(Circumference)=47.1 cm`The answer will depend on which `pi` you use.In this solution we used: `pi=3.14`.Using Answer `pi=3.14` `47.1 cm` `pi=3.141592654` `47.1 cm` `pi=(22)/(7)` `47.1 cm` -
Question 4 of 7
4. Question
Find the circumference of the circle
Round your answer to `1` decimal placeUse `pi=22/7 \text(or) pi=3.14`- `\text(Circumference )=` (163.4, 163.3) `mm`
Hint
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Circumference Formula
`\text(Circumference) =2 xx pi xx ``\text(radius)`Given Lengths
`\text(diameter)=52`
First, find the radius of the circle. Note that the radius is half of the diameter.`\text(Radius)` `=` `1/2 xx``\text(diameter)` `=` `1/2 xx``52` `\text(Radius)` `=` `26` Solve for the circumference using the formula `C=2pi``r`Use `pi=22/7` See `pi` explained`\text(Circumference)` `=` `2 xx pi xx``\text(radius)` Circumference Formula `=` `2 xx 22/7 xx ``26` Plug in the known values `=` `44/7 xx ``26` Evaluate `=` `1144/7` `1144 divide 7` `=` `163.42857` `=` `163.4 mm` Rounded to `1` decimal place `\text(Circumference)=163.4 mm`The answer will depend on which `pi` you use.In this solution we use: `pi=22/7`.Using Answer `pi=(22)/(7)` `163.4 mm` `pi=3.14` `163.3 mm` `pi=3.141592654` `163.4 mm` -
Question 5 of 7
5. Question
Find the perimeter of the Semi-circle
Round your answer to `1` decimal placeUse `pi=3.141592654`- `\text(Perimeter )=` (102.8, 102.9) `mm`
Hint
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Perimeter of a Semicircle
`\text(Perimeter)=\frac{1}{2}times pi times``\text(diameter)`Given Lengths
`\text(diameter)=40`
Solve for the perimeter using the formulaUse `pi=3.141592654` See `pi` explained`\text(Perimeter)``\text(Semicircle)` `=` `\frac{1}{2}times pi times``\text(diameter)` Circumference of a Semi-Circle Formula `=` `\frac{1}{2}times 3.141592654 times``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.$$\text{Final Perimeter}$$ `=` `62.8318` `+40` `=` `102.8318 mm` `=` `102.8 mm` Rounded to `1` decimal place `\text(Perimeter)=102.8 mm`The answer will depend on which `pi` you use.In this solution we used: `pi=3.141592654`.Using Answer `pi=3.141592654` `102.8 mm` `pi=3.14` `102.8 mm` `pi=(22)/(7)` `102.9 mm` -
Question 6 of 7
6. Question
Find the perimeter of the shape
Round your answer to `1` decimal placeUse `pi=3.141592654`- `\text(Perimeter )=` (41.1) `cm`
Hint
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Perimeter of a Semicircle
`\text(Perimeter)=\frac{1}{2}times pi times``\text(diameter)`Given Lengths
`\text(diameter) = 9`Solve for the perimeter of the SemicirleUse `pi=3.141592654` See `pi` explained`\text(Perimeter)``\text(Semicircle)` `=` `\frac{1}{2}times pi times``\text(diameter)` Circumference Formula `=` `\frac{1}{2}times 3.141592654 times``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.
`\text(Perimeter)``\text(Square)` `=` `9 + 9 + 9` Add the `3` sides `=` `27 cm` Now add the two perimeters`\text(Total Perimeter)` `=` `14.13716``+``27` `=` `41.13716` `=` `41.1 cm` Rounded to `1` decimal place `\text(Perimeter)=41.1 cm`The answer will depend on which `pi` you use.In this solution we used: `pi=3.141592654`.Using Answer `pi=3.141592654` `41.1 cm` `pi=3.14` `41.1 cm` `pi=(22)/(7)` `41.1 cm` -
Question 7 of 7
7. Question
Find the perimeter of the shape
Note that the radius of the larger semi-circle is `12cm`.Round your answer to `1` decimal placeUse `pi=3.141592654`- `\text(Perimeter )=` (68.5, 68.6) `cm`
Hint
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Exceptional!
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Perimeter of a Semicircle
`\text(Perimeter)=\frac{1}{2}times pi times``\text(diameter)`Or`\text(Perimeter)=pi times``\text(radius)`Given Lengths
`\text(diameter)` (Smaller Semicircle)`=12``\text(radius)` (Larger Semicircle)`=12`Solve for the perimeter of the Larger SemicircleUse `pi=3.141592654` See `pi` explained`\text(Perimeter)``\text(Larger Semicircle)` `=` `pi times``\text(radius)` Perimeter of a Semicircle Formula `=` `3.141592654 xx``12` Plug in the known values `=` `37.69911 cm` Solve for the perimeter of the Smaller SemicircleUse `pi=3.141592654` See `pi` explained`\text(Perimeter)``\text(Smaller Semicircle)` `=` `\frac{1}{2}times pi times``\text(diameter)` Perimeter of a Semicircle Formula `=` `\frac{1}{2}times 3.141592654 times``12` Plug in the known values `=` `18.84955 cm` Now add the two perimeters`\text(Perimeter)` `=` `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 perimeter$$\text{Total Perimeter}$$ `=` `56.5` `+``12` `=` `68.5 cm` `\text(Perimeter)=68.5 cm`The answer will depend on which `pi` you use.In this solution we used: `pi=3.141592654`.Using Answer `pi=3.141592654` `68.5 cm` `pi=3.14` `68.5 cm` `pi=(22)/(7)` `68.6 cm`