Question

Two arcs of the same circle have their lengths in the ratio 4:5. Then the ratio of the areas of the corresponding sectors is 4:5
If true then enter $1$ and if false then enter $0$

• A. 1

Answer 1

The correct option is A 1
Area of the sector $=\frac{Radius}{2}\times$ Length of the arc.
As the arcs are of the same circle, radius is the same.
Thus, the area is directly proportion to the length of the arc.
This means, even the areas of the sectors are in the ratio $4:5$