Question

a round table cover has eight equal designs ....if the radius of the cover is 28cm find the cost of making the designs at the end of Rs.0.35 per cm^2​

Answer 1

Answer:

OB=OC=28cm

Area of circle =πr

2

=

7

22

×28×28

=88×28

=2464cm

2

Since, ABCDEF is a regular hexagon

∴ΔOBC is an equilateral Δ

ar(ΔOBC)=

4

3

×28×28=339.08cm

2

Area of 6 triangles =6×339.08=2034.48cm

2

Area of shaded region = Area of circle - Area of 6.

=2464−2034.48=429.52cm

2

Rate =0.35cm

2

∴ Rate =0.35×429.52=Rs.150.33