What is the area of a sector of a circle of radius 14 cm and central angle 90°?
Answer & explanation
Correct answer: option 1
Area of sector = \(\frac{Θ°}{360°}\) \(\pi \) r2
= \(\frac{90}{360}\) × \(\frac{22}{7}\) × 14 × 14
= \(\frac{1}{4}\) × \(\frac{22}{7}\) × 14 × 14
= 154 cm2
OR
90° = quadrant
Area of quadrant = \(\frac{1}{4}\) × Area of circle
= \(\frac{1}{4}\) × \(\pi \) r2
= \(\frac{1}{4}\) × \(\frac{22}{7}\) × 14 × 14
= 154 cm2