A sector of a circle has an area of 55 cm2 If t... - JAMB Mathematics 2005 Question
A sector of a circle has an area of 55 cm2. If the radius of the circle is 10 cm, calculate the angle of the sector
[π = 22/7]
[π = 22/7]
A
45o
B
63o
C
75o
D
90o
correct option: b
Area of a sector = \(\frac{\theta}{360}\times \pi r^2\55=\frac{\theta}{360}\times \frac{22}{7}\times \frac{10\times 10}{1}\\theta=\frac{360 \times 55 \times 7}{22 \times 10 \times 10}\\theta = 63^{\circ}\)
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