Question

Find the area of the shaded region,if the diameter of the circle with centr o is 28cm and AQ=1/4AB

Answer 1

Answer:192.5cm2

Step-by-step explanation:

We observe that, area of the shaded region = area of the smaller part + area of the larger part

Given, AB=28 cm

⇒AQ=14AB=14(28)=7 cm

Also,

BQ+AQ=AB

⇒BQ=AB−AQ=28−7=21 cm

So, radius of the smaller part = AQ2=3.5 cm

and radius of the larger part part = BQ2=10.5 cm

Thus, area of the smaller part = π(3.5)22=19.25 cm2

area of the larger part = π(10.5)22=173.25 cm2

Hence, the area of the shaded region = (173.25+19.25) cm2=192.5 cm2