find the area of sector of a circle with radius 4 cm and angle 30°.Also find the area of the coressponding major sector
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Answer:
the answer is 46.053cm².
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Answer :
Given that OAPB is a sector.
Area of a sector = θ/360 × πr²
- 30/360 × 3.14 × 4 × 4 cm²
- 1507.2/360 cm²
- 4.19 cm²
∴ Area of sector OAPB is 4.19 cm².
Area of corresponding major sector = πr² – area of sector OAPB
- 3.14 x (4)² – 4.19 cm²
- 50.24 – 4.19 cm²
- 46.1 cm²
∴ Area of corresponding major sector is 46.1 cm².
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