Answer
Verified
397.5k+ views
Hint: Here, we are provided by the number of hours spent on different activities and pie chart can be easily made by measuring the angle of sectors and plotting them inside a circle whose collective sum of angle is equals to $ {{360}^{{}^\circ }} $
Complete step-by-step answer:
In question, it is asked to draw a pie chart of data given in the table below which shows the time spent on various activities such as 8 hours are spent on sleep, 6 hours are spent on school, 2 hours are spent on play and 8 hours are spent on other activities.
Now, pie chart is a circular pictorial representation on which data is shown by the different size of sectors which collectively makes a circle and the sum of angles of all sectors is equal to $ {{360}^{{}^\circ }} $ .
Now, to make a pie chart first step is to find out how much degree a sector is acquiring for each activity which can be find out by simple formula which is value of activity to the values of all activity put together multiplied by $ {{360}^{{}^\circ }} $ that is $ \dfrac{\text{value of activity}}{\text{values of all activity put together}}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}} $ .
Now total hours spent is equal to sum of all hours spent on sleep, school, play and other activities.
So, Total Hours = 8 + 6 + 2 + 8 = 24 hours
So, Angle of the sector representing sleep $ =\dfrac{8}{24}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}} $
On simplifying , Angle of sector representing sleep $ =\dfrac{1}{3}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}}={{120}^{{}^\circ }} $
Angle of sector representing sleep $ =\dfrac{6}{24}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}} $
On simplifying , Angle of sector representing school $ =\dfrac{1}{4}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}}={{90}^{{}^\circ }} $
Angle of sector representing play $ =\dfrac{2}{24}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}} $
On simplifying , Angle of sector representing sleep $ =\dfrac{1}{12}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}}={{30}^{{}^\circ }} $
Angle of sector representing sleep $ =\dfrac{8}{24}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}} $
On simplifying , Angle of sector representing others $ =\dfrac{1}{3}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}}={{120}^{{}^\circ }} $
So, pie chart representing the table data will be of form,
Note: Total activity time should be measured properly as it will change the value of measure and hence pie charts will be formed wrong. Pie charts should be neat and visible and should be properly labelled.
Complete step-by-step answer:
In question, it is asked to draw a pie chart of data given in the table below which shows the time spent on various activities such as 8 hours are spent on sleep, 6 hours are spent on school, 2 hours are spent on play and 8 hours are spent on other activities.
Now, pie chart is a circular pictorial representation on which data is shown by the different size of sectors which collectively makes a circle and the sum of angles of all sectors is equal to $ {{360}^{{}^\circ }} $ .
Now, to make a pie chart first step is to find out how much degree a sector is acquiring for each activity which can be find out by simple formula which is value of activity to the values of all activity put together multiplied by $ {{360}^{{}^\circ }} $ that is $ \dfrac{\text{value of activity}}{\text{values of all activity put together}}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}} $ .
Now total hours spent is equal to sum of all hours spent on sleep, school, play and other activities.
So, Total Hours = 8 + 6 + 2 + 8 = 24 hours
So, Angle of the sector representing sleep $ =\dfrac{8}{24}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}} $
On simplifying , Angle of sector representing sleep $ =\dfrac{1}{3}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}}={{120}^{{}^\circ }} $
Angle of sector representing sleep $ =\dfrac{6}{24}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}} $
On simplifying , Angle of sector representing school $ =\dfrac{1}{4}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}}={{90}^{{}^\circ }} $
Angle of sector representing play $ =\dfrac{2}{24}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}} $
On simplifying , Angle of sector representing sleep $ =\dfrac{1}{12}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}}={{30}^{{}^\circ }} $
Angle of sector representing sleep $ =\dfrac{8}{24}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}} $
On simplifying , Angle of sector representing others $ =\dfrac{1}{3}\text{ }\!\!\times\!\!\text{ 36}{{\text{0}}^{\text{ }\!\!{}^\circ\!\!\text{ }}}={{120}^{{}^\circ }} $
So, pie chart representing the table data will be of form,
Note: Total activity time should be measured properly as it will change the value of measure and hence pie charts will be formed wrong. Pie charts should be neat and visible and should be properly labelled.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Summary of the poem Where the Mind is Without Fear class 8 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Write an application to the principal requesting five class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE