Question

A semicircle is divided into two sectors,
whose angles are in the ratio 1 : 2. Then the
ratio of their area is
(a) 1:3
(b) 1:4
(c) 2:3
(d) 1:2​

Answer 1

Answer:

option D is correct

Step-by-step explanation:

(1x/360 × pi R²)÷(2x/360 × pi R²)

(1x/360 × pi R²) × (360/2x x 1/pi R²)

(1/2)

so 1:2 is the correct option

Answer 2

Answer:

angles

180x1/3 = 60

I80x2/3 = 120

60,120 degrees

60:120

areas of sectors

1)Xxπxr^2/360=60πxr^2/360

= 1/6πr^2

2), 120xπxr^2/360

= 1/3πr^2

Ratio of sectors

I/6:1/3 = 3:6=1:2

Ans=1:2