Question

in the given figure the area of shaded Sector POQ IS 3/20 of the area of whole circle calculate angle poq❤it's important❤‍❤‍give relevant answer as only 2 answers are given in 1 question in Brainly app‍❤‍​

Answer 1

Answer:

54°

Step-by-step explanation:

Area of circle =

$\pi \: r { }^{2}$

area of sector = angle/360° x πr²

Since area of sector is 3/20 of that of the circle,

therefore

angle / 360° x πr² = 3 / 20 x πr²

=> angle/360° = 3/20 (cancelling out πr²)

=>angle POQ = 3/20 x 360°

= 54°