Question 66

The pie chart given below gives the measures of the central angles of the sectors that reflect the number of flats in 6 different towers in a housing society with respect to the total flats in these 6 towers taken together.

If the difference between the number of flats in T2 and in T6 is 66. then what is the total number of flats in the 6 towers taken together?

Solution

If the difference between the number of flats in T2 and in T6 is 66.

difference between the number of flats in T2 and in T6 = $$(60^{\circ\ }-38^{\circ\ }) = 66$$

$$22^{\circ\ }=66$$
$$1^{\circ\ }=3$$
Total number of flats in the 6 towers taken together = $$360^{\circ\ } = 360\times3$$
= 1080

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