find the area of the sector of a circle radius 4cm and angle at the center is 60°
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Given :-
- Radius = 4 cm
- Central angle = 60°
To Find :-
- Area of sector = ?
Answer :-
- Area of sector = 8.380 cm²
Explaination:-
As we know that Area of sector is calculated by :
Area of sector = (ϴ/360°) πr²
Where r is radius, ϴ is central angle in degrees and π = 22/7.
Now, subsitute the given values in above formula :-
➝ Area of sector = 60°/360° × 22/7 × 4 × 4
➝ Area of sector = 6/36 × 22/7 × 16
➝ Area of sector = 1/6 × 22/7 × 16
➝ Area of sector = 8.380 cm²
Therefore,area of sector is 8.380 cm².
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