Question

What is the approximate area of the shaded sector in the circle shown below? O A. 25 in2 4.3 in 155 B. 5.82 in2 IC O C. 11.63 in2 D. 50 in2 SUBMIT

Answer 1

Answer:

D. 25 inch²

Step-by-step explanation:

Area of sector of a circle =(r^2∅) /2

where,

r = radius of the circle

∅= angle subtended by the arc at the center of circle in radians.

Given :

∅ =155°  

radius =4.3 in

Convert 155° to radian

πradian=180°

155°=π / 180°*155°

=2.705 radians

Area of sector of a circle =(r^2∅) /2

=(4.3^2 * 2.705) / 2

=(18.49 * 2.705) / 2

=50.01545 / 2

=25.007725 inch²

Approximately 25 inch²