Question

PÕQ = 40°? [WAEC] A pie chart is divided into four sectors as shown in Fig. 12.46. Each sector represents a percentage of the whole. The two larger sectors are equal and each represents x%. What is the angle subtended by one of those (WAEC] larger sectors? ​

Answer 1

126°

Explanation:

the total max percent can be 100%

OR

The total value of the pie is 100%

that means all sectors must add upto 100

=> x + x + 21 + 9 = 100

=> 2x + 30 = 100

=> 2x = 70

=> x = 35

therefore, the two large sectors which are both equal to x each represents 35% of the whole.

Angle subtended by one of those large sectors :-

`\theta = (component \: part)/(total) * 360`

`= (35)/(100) * 360 \\ = 126`

therfore, the central angle of the big sector is 126°