Question 1156984
Circle O has an area of 200 m2.  Points A and B lie on the circle.  Sector AOB has an area of 50m2.  What is the measure of angle AOB?

Area of sector is 1/4 area of circle therefore angle is 90 degrees

Area of circle = pi r^2



{{{Area of sector = ((theta)/360)*area of circle}}}

{{{50/200 =(theta)/360)}}}

1/4 * 360 = {{{(theta)}}}

{{{(theta)}}} =90