Answer

Verified

414.9k+ views

**Hint:**For part (i), find the season who got the maximum number of votes from the table. For part (ii), find the total number of votes. Then divide each season vote by total votes and multiply it by $360^\circ $ to get the central angle of each sector. For part (iii), draw a circle and use a protractor to draw the angles of each season.

**Complete Step by Step Solution:**

(i)

Since the number of votes for winter is 150 which is highest among all three seasons.

Hence, winter got the most votes.

(ii)

To calculate the total number of votes, add votes of all the seasons,

$ \Rightarrow $Total vote $ = 90 + 120 + 150$

Add the terms on the right side,

$\therefore $ Total vote = $360$

Divide votes of each season vote with 360 and multiply it by 360.

For the summer season,

$ \Rightarrow $ Central Angle $ = \dfrac{{90}}{{360}} \times 360^\circ $

Cancel out the common term,

$ \Rightarrow $ Central Angle $ = 90^\circ $

For the rainy season,

$ \Rightarrow $ Central Angle $ = \dfrac{{120}}{{360}} \times 360^\circ $

Cancel out the common term,

$ \Rightarrow $ Central Angle $ = 120^\circ $

For the winter season,

$ \Rightarrow $ Central Angle $ = \dfrac{{150}}{{360}} \times 360^\circ $

Cancel out the common term,

$ \Rightarrow $ Central Angle $ = 150^\circ $

Hence, the central angle for summer is $90^\circ $, for rainy is $120^\circ $ and for winter is $150^\circ $.

(iii)

Draw a circle with a certain radius and mark its center.

Draw a radius at any point on the circle and using this radius of the circle as the base of the protractor, marks $150^\circ $ which is the highest angle on it, and name it.

Using the radius, mark the next highest angle, and name them.

**Note:**A pie-chart is a representation of data in a circle that is divided into several sections. Each division in the circle represents a proportion of the whole data. In general, every division of the circle is highlighted in a particular color and has a percentage and item heading labeled for it.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

How do you graph the function fx 4x class 9 maths CBSE

Which are the Top 10 Largest Countries of the World?

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

The largest tea producing country in the world is A class 10 social science CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE