Central angle 72 degree diameter is equal to 10 cm solution
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Answer:
Given:
Radius = 10cm
Angle ( Ѳ) = 72°
We know that:
Area of Sector = Ѳ/360 × πr²
Area of sector = 72/360 × 22/7 × 100
Area of sector = 1/5 × 22/7 × 100
Area of sector = 22/7 × 20
Area of sector = 62.8 cm²
Hence:
Area of sector is 62.8 cm².
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Step-by-step explanation:
Radius = 10cm
Angle ( Ѳ) = 72°
We know that:
Area of Sector = Ѳ/360 × πr²
\implies⟹ Area of sector = 72/360 × 22/7 × 100
\implies⟹ Area of sector = 1/5 × 22/7 × 100
\implies⟹ Area of sector = 22/7 × 20
\implies⟹ Area of sector = 62.8 cm²
Hence:
Area of sector is 62.8 cm².
Other Formulas:-
●Area of Sector = Ѳ/360 × πr²
●Length of Arc = Ѳ/360 × 2πr
●Area of Quadrant = 1/4πr²
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