find the area of corresponding major sector of a circle of radius 28 cm and the central angle 45
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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 !!!
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 !!!
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