GCSE 995381 IGCSE PASTE
NOT TO
SCALE
Past Papers
8 cm
30°
A
OAB is the sector of a circle, centre 0, with radius 8 cm and sector angle 30°.
BC is perpendicular to OA.
Calculate the area of the region shaded on the diagram.

Step-by-step explanation:

Given,

Angle of sector = 30°

Radius of circle, r = 8 cm

Area of the shaded region, A =?

The diagram is attached below.

Now,

Area of shaded region = Area of sector - Area of triangle

Area of triangle =

We know that,

And

Area of sector =

Area of sector =  

                        = 16.75 cm^2

Area of triangle =

                          = 13.85 cm^2

Area of shaded region = 16.75 - 13.85

                                      =