Question

If an arc of a circle subtends an angle of measure at the centre, then the area of the minor sector is .......,select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) ????rθ/180
(b) ????r²θ/180
(c) ????rθ/360
(d) ????r²θ/360

Answer 1

We know Area of Circle = $A =\pi r^{2}$

When angle is 2$\pi$

So,$\pi$ is half of 2$\pi$

Now angle is here θ,

So, for θ is θ/180°

hence option b is corrct.

Answer 2

From the figure above ,

OAXB is a minor sector .

Area of minor sector = A

A = ( theta ) × πr²/360°

Option ( D ) is correct.

I hope this helps you.

: )