12) Find the area of a sector of a circle with radius 6 cm if the angle of the sector is 60"
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Answer:
- 132 cm² is the required Area.
Step-by-step explanation:
Given:-
- Angle ,∅ = 60°
- Radius ,r = 6 cm
To Find:-
- Area of Sector
Solution:-
As we have to calculate the area of Sector in which radius & angle are given.
The area of Sector is defined are between two radii & its corresponding arc is called area of Sector.
- Area of Sector = θ/360 × πr²
Where,
- θ denote angle
- π denote 22/7
- r denote radius
Substitute the value we get
→ Area of Sector = 60/360 × 22/7 × 6²
→ Area of Sector = 1/6 × 22/7 × 36
→ Area of Sector = 22/7 × 6
→ Area of Sector = 132/7 cm²
- Hence, the area of the sector is 132/7 cm².
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