Question

cm is cut
Find the area of the remain
& In a circular table cover of radius 32 cm, a
design is formed leaving an equilateral
triangle ABC in the middle as shown in
Fig. 12.24. Find the area of the design.
B
VO
Fig. 12.24

can someone solve this? ​

Answer 1

Step-by-step explanation:

Let ABC be the equi.triangle and O be the centre of circle of radius= 32 cm

Area of circle= πr^2

= (22/7×32×32)cm^2

= 22528/7 cm^2

Draw OM perpen.to BC

Now,angleBOM = 1/2×120°= 60°

So.From triangle BOM,we have

OM/OB= cos 60°(1/2)

OM= 16cm

BM/OB= cos 60°(1/2)

BM= 16√3cm

BC=2BM

= 32√3cm

hence,area of triangle BOC= 1/2BC.OM

=1/2×32√3×16

=768√3cm^2

Area of design = Area of O- Area of triangle ABC=

(22528/7-768√3)cm^2

Answer 2

Answer:

good Morning ayushman

and thank u so much for answering my questions