Question

in fig radius=14 cm length of arc=14.2 cm find the area of sector​

Answer 1

Answer:

92.4 cm²

Step-by-step explanation:

Arc length of sector:

C=(θ/360°)×2×π×r   ----Equation 1

Area of a sector;

A=(θ/360°)×π×r²------Equation 2

So;

As we know the arc length and radius we can find θ using Equation 1

13.2=(θ/360°)×2×π×r

θ=(13.2×360°)/(2×π×14)

θ=54°

Now since we know θ we can find area by equation 2

A=(θ/360°)×π×r²

A=(54°/360°)×π×14²

A=92.4 cm²