Question

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18)
What is the area of the sector, whose
diameter is 40 mm and angle is 120°?
418.66 mm?
400.50 mm
415.5 mm2
416.6 mm?
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Answer 1

✰✰|| Given ||✰✰

• Diameter of sector = 40 mm

• Angel of sector = 120°

✰✰|| To Find ||✰✰

• Area of sector

❈|| Formula Used ||❈

• Area of sector = ½ r² ∅

✪|| Solution ||✪

Area of sector = ½ r² ∅

⇒ Area of sector = ½ × ( 40mm/2 )² × 120°

⇒ Area of sector = ½ × ( 20mm )² × 120°

⇒ Area of sector = ½ × 400mm² × 120°

⇒ Area of sector = ½ × 48000mm²

⇒ Area of sector = 1× 24000mm²

⇒ Area of sector = 24000mm²

★ Area of sector is 24000mm²