JAMB - Mathematics (1997 - No. 25)

An arc of a circle subtends an angle 70o at the centre. If the radius of the circle is 6cm, calculate the area of the sector subtended by the given angle.(\(\pi\) = \(\frac{22}{7}\))
22cm2
44cm2
66cm2
88cm2

Explanation

Area of a sector = \(\frac{\theta}{360°} \times \pi r^{2}\)

r = 6cm; \(\theta\) = 70°.

Area of the sector = \(\frac{70}{360} \times \frac{22}{7} \times 6^{2}\)

= \(22 cm^{2}\)

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