What is the area of a sector of a circle of radius 14 cm and central angle 90°?

154 sq. cm

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