Question

(2) In a pie chart if a sector for two wheelers shows 40% of the total
vehicles, then find the measure of central angle for the sector showing
two wheelers.​

Answer 1

Answer:

144. degree

Explanation:

as

we have to divide 100% into 360 degree

100 = 360 then

let x be the angle made at centre of pie for 40 %

then

40= x

comparing the two equation we get

x = 144

so it will make 144 degree at the centre

Answer 2

In a in a pie chart the sector of two wheelers show 40% of the total vehicals, then f the measure of central angle for the sector showing two wheelers is 144 degree.

Stepwise explanation is given below:

- The fact as per the statement given in the question:

Since 2 wheelers constitute 40% of the total vehicles.

- Share of two-wheelers = 40% = 0.4

Sector angle for two-wheelers = 0.4*360 = 144

- The 40% of the complete angle

= 40% × 360°

=(40/100) × 360°

=4 × 36

=144°

- The angle of a category is the share of that category expressed with respect to 360°.

- If share is 40%, angle is 40% of 360 (which is 144)

So, it will make 144 degree at the centre.