Question

The area of a sector of a circle of radius 2 cm is π cm². Find the angle contained by the sector.

Answer 1

Given, 

Area of sector = πcm² 

Radius = 2 cm 

Area of sector = \(\frac{θ}{360°}\timesπr^2\)

π = \(\frac{θ}{360°}\timesπ\times4\)

q = \(\frac{360°\timesπ}{π\times4}\) = 90°