Question

A square piece of material with sides 150 cm is used to make a circular table cloth. The diameter of
the completed cloth must be 1,2 m and 5 cm is provided for a hem. How much material is wasted?
(Answer correct to 2 decimal places.)
1. 1,30 m2
2. 92,26 cm2
3. 0,92 m2
4. 129,97 cm2

Answer 1

Answer:

Option (3) 0.92 m²

Step-by-step explanation:

Diameter of the finished cloth = 1.2 m

allowance for hem = 5 cm = 0.05 m

Total diameter of cloth required to make the table cover = 1.2 + 0.05 + 0.05 = 1.3 m

Area of the table cover = π × (1.3²/4)

                                      = 1.33 m²

Area of the square piece cloth = 1.5 × 1.5 = 2.25 m²

Material wasted = 2.25 - 1.33 = 0.92 m²

Therefore, The area of the cloth material wasted is 0.92 m²

Hope this helps.