What is the approximate area of major segment of the circle?
Consider the following data: A chord of a circle of radius 2.1\text{ cm} subtends an angle of 120^{\circ} at the centre. (take \pi=\frac{22}{7} and \sqrt{3}=1.732)
- A. 10.05\text{ cm}^{2}
- B. 10.15\text{ cm}^{2}
- C. 11.05\text{ cm}^{2}
- D. 11.15\text{ cm}^{2} ✓
Correct Answer: D. 11.15\text{ cm}^{2}
Explanation
Area of major segment = Area of full circle - Area of minor segment. Area of circle = \pi r^2 = \frac{22}{7} \times (2.1)^2 = 13.86\text{ cm}^2. Major segment = 13.86 - 2.71 = 11.15\text{ cm}^2.
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