Question

A round table cover has six equal designs as shown in Figure. If the radius of the cover is 28 cm, find the cost of making the designs at the rate of Rs. 0.35 per cm² . (Use √3 = 1.7)

Answer 1

Area of segment APB design 1 : 

= Area of OAPB – Area of ∆AOB 

= 410.6 – 333.2 = 77.46 sq.cm. 

∴ Total are of SIX designs = 6 × 77.46 

= 464.8 sq.cm. 

Cost of designing for 1 sq.cm, is Rs. 0.35 

∴ Cost of designing for 464.8 sq.cm …………. 

= 464.8 × 0.35 

= Rs. 162.68