Question

43. Find the area of a sector of a circle of radius 28 cm and central angle 45
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Answer 1

Answer:

2156 cm²

Step-by-step explanation:

As in a circle there are two sectors i)Major sector ii)Minor sector

Major sector ∠Ф >180°   i.e   the central angle is more than 180°

Minor sector ∠Ф<180°    i.e   the central angle is less than 180°

As per the question the sector of central angle is 45°  and corresponding sector of it is the major sector as its central angle is more than  i.e 360°-45°=315°

Hence the corresponding sector's central angle is Ф = 315°

Then Area of corresponding sector = Ф/360° × πr²

                                                       = 315/360 × 22/7 × 28 × 28

                                                       = 2156 cm²

:) Hope this Helps !!!

Answer 2

Area of sector=45°/360×22/7×28×28

=1/8×22/7×28×28

=11×28

=308