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gregori [183]
3 years ago
7

a pie chart is divided into four sectors in fig. 12.42. 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 larger sectors ?​

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0

Answer:

Angle formed by the sector measuring x% will be 126°.

Step-by-step explanation:

Since, sum of all sectors formed in a circle is 100%.

By adding the measures of all the sectors,

x + x + 21 + 9 = 100

2x + 30 = 100

2x = 70

x = 35%

Now we know sum of all the central angles formed at the center of a circle = 360°

Therefore, angle formed by x% = 360° × 35%

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

                                                    = 126°

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