What is the area of a sector of a circle of radius 14 cm with central angle 135°? (Take \(\pi=\frac{22}{7}\))
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 231 cm2
A sector is the part of the circle cut off by its angle, so its area is \(\frac{\theta}{360^\circ}\times\pi r^2\).
Area of the whole circle \(\displaystyle=\frac{22}{7}\times14\times14=616\) cm2
\(\displaystyle\frac{135^\circ}{360^\circ}=\frac{3}{8}\)
Area of the sector \(\displaystyle=\frac{3}{8}\times616=231\) cm2
