Question

if the area of sector is 1 /12 the area of circle then what is the measure of corresponding central angle​

Answer 1

area of sector = (angle in degree/360) * area of circle

(1/2)* area of circle = (angle in degree/360) × area of circle

1/12 = angle in degree / 360

angle in degree = 360/12

= 30 degree

Answer 2

$\huge\bold{Answer}$
=>>>>30°

=> According to question ..

If the if the area of the circle then what is the measure of corresponding Central angle.

Area of the sector = > $\frac{Angle\: in\: degree}{360}$×area of circle.

$\frac{1}{2}$ × area of circle . = $\frac{Angle \:in \:degree }{360}$ × area of
circle .

$\frac{1}{12}$ = area in degree / 360 .

Angle in degree = $\frac{360}{12}$

=>>>30°