Question
Download Solution PDFThe radius of a circle with centre at O is 6 cm and the central angle of a sector is 40°. Find the area of the sector.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radius of the circle = 6 cm
Central angle of a sector = 40°
Formula used:
Area of sector = \(\theta \over 360°\) × πr2
Calculation:
Area of the given sector = \(40° \over 360°\) × π × (6 cm)2
⇒ (\(1 \over 9\)× π × 36) cm2
⇒ (π × 4) cm2
⇒ 4π cm2
∴ The area of the sector is 4πcm2 .
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