A sector of 120 degrees, cut out from a circle, has an area of 66/7 sq cm. Find the radius of the circle.
A) 1cm
B) 2cm
C) 3cm
D) 4cm
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10
Answer:
Step-by-step explanation
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Answered by
10
Answer:
A sector of 120 degrees, cut out from a circle, has an area of 66/7 sq cm
then Radius = 3 cm
option C is correct
Step-by-step explanation:
Area of circle = π R²
π = 22/7
R = ? cm
A sector of 120° cut out from a circle
Area of sector = ( Angle/360°) π R²
= ( 120°/360°)(22/7)R²
= (1/3)(22/7)R²
Area of sector = 66/7 cm²
=> (1/3)(22/7)R² = 66/7
=> R² = 9
=> R = 3 cm
Radius = 3 cm
option C is correct
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