Question

In the below figure, if the area of circle and region OAQB is 150 $c{m}^2$ and 50 $c{m}^2$ respectively. Then region OAPB is called and its area is

• A. 50 $c{m}^2$
• B. 100 $c{m}^2$
• C. major sector
• D. major segment
• E. minor sector

Answer 1

Answer: (B), (C)

The correct options are
B 100 $c{m}^2$
C major sector

$\because$ The region bounded by radii and minor arc is called minor sector.
$\therefore$ OAQB is minor sector
$\because$ The region bounded by radii and major arc is called major sector.
$\therefore$ OAPB is major sector

Area of OAPB = Area of circle - Area of OAQB
$\therefore$ Area of OAPB = 150 - 50 = 100 $c{m}^2$