Question

the centre of a circle is O .the area of sector OAPB IS 5/18 of the area of the circle​

Answer 1

$\textsf{Hey there!}$

$\textsf{\underline{Formulas used:}}\\ \textsf{Area of circle} = \pi r^2$

$\textsf{Area of sector} = \dfrac{\pi r^2 \theta}{360}$

$Given,\\\\\textsf{Area of sector OAPB = \dfrac{5}{18} of area of circle.}\\\\\dfrac{\pi r ^2 \theta}{360} = \dfrac{5}{18} } \times \pi r^2\\\\\dfrac{x}{360} = \dfrac{5}{18}\\\\x = \dfrac{5}{18} \times 360\\\\x = 5 \times 20\\\\\boxed{x = 100^o}\\\\\textsf{Hope It Helps You!}$