Question

What will be the central angle (in a pie chart) of a component whose score is 75 out of the total score of 120?​

Answer 1

Answer:

72

Step-by-step explanation:

In any sector, there are 3 parts to be considered:

The arc length is a fraction of the circumference. The sector area is a fraction of the whole area. The sector angle is a fraction of 360°

If the sector is 20% of the pie chart, then each of these parts is 20% of the whole.

20%×360°

20100×360=72°

Answer 2

Given,

The score is 75 out of the total score of 120.

Solution,

Know that the total central angle of a pie chart is $\[360^\circ \]$.

Total score is 120.

This total score is correlated with total central angle to calculate the central angle at score 75.

Score $\[120\]$ is equivalent to $\[360^\circ \]$

Score 75 is equivalent to,

$\[ = \frac{{360^\circ }}{{120}} \times 75\]$

$\[{=225^\circ }\]$

Hence the central angle (in a pie chart) of a component is equal to $\[{225^\circ }\]$