In a circle of radius 7 cm, an arc subtends an angle of 108° at the centre. The area of the sector is · ABC26GN4615
Subject: General Aptitude · Chapter: Area
In a circle of radius 7 cm, an arc subtends an angle of 108° at the centre. The area of the sector is
(a)$43.2 \mathrm{cm}^{2}$
(b)$44.2 \mathrm{cm}^{2}$
(c)$45.2 \mathrm{cm}^{2}$
(d)$46.2 \mathrm{cm}^{2}$
Answer
Explanation
Area of the sector $$=\frac{\pi R^{2} \theta}{360}=\left(\frac{22}{7} \times 7 \times 7 \times \frac{108}{360}\right) \mathrm{cm}^{2}=46.2 \mathrm{cm}^{2} .$$
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