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taurus [48]
3 years ago
12

PÕQ = 40°? [WAEC] A pie chart is divided into four sectors as shown in Fig. 12.46. Each sector represents a percentage of the wh

ole. The two larger sectors are equal and each represents x%. What is the angle subtended by one of those (WAEC] larger sectors? ​

Mathematics
1 answer:
Serhud [2]3 years ago
6 0

Answer:

126°

Step-by-step 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.

<u>Angle subtended by one of those large sectors</u> :-

\theta  =  \frac{component \: part}{total}  \times 360

=  \frac{35}{100}  \times 360 \\  = 126

therfore, the central angle of the big sector is<u> 126°</u>

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