Question

Find the area of the sector if the radius is 5 cm and with an angle of 50°.

(a) 11.90 cm

(b) 10.90 cm

(c) 12.90 cm

(d) 13.90 cm

The question was posed to me in an international level competition.

My question is based upon Area of Sector and Segment of a Circle in portion Area Related to Circles of Mathematics – Class 10

Answer 1

The correct option is (b) 10.90 cm

For explanation: The area of the sector = \(\frac {x^{\circ }}{360^{\circ }}\) × πr^2

= \(\frac {50^{\circ }}{360^{\circ }} \times \frac {22}{7}\) × 5^2

= 10.90 cm