Question

what sector has the greatest angle​

Answer 1

Step-by-step explanation:

major sector has the greater angle...

Answer 2

Answer:

circle is completely divided into n sectors in such a way that the angles of the sectors are in AP. if the smallest of these angles is 8

o

and the largest is 72

o

then the angle in the fifth sector is ?

Step-by-step explanation:

Let the common difference be d.

Let T

r

denote the angle of the r

th

sector.

Using AP formula:

T

r

=8+(r−1)d

72=8+(n−1)d

⟹(n−1)d=64 (1)

Sum of all angles: 360

o

Sum of first n terms of AP is given by:

2

n

(2a+(n−1)d)

2

n

(16+64)=360

⟹n(40)=360⟹n=9

Substituing n=9 in (1):

d=8

Therefore, angle of fifth sector = T

5

=8+4⋅8=

40

o

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