asked 47.9k views
1 vote
a restaurant uses square tables with sides of length 1.3m, and round tablecloths with diameter 2m. Determine the percentage of each tablecloth which overhangs its table.

asked
User Donnell
by
8.6k points

1 Answer

4 votes

Answer:

46.21%

Explanation:

The area of the table top is 1.3 x 1.3 = 1.69 m²

The area of the circular tablecloth is given by πr² where r is the radius of the table cloth

Give diameter of tablecloth is 2m, radius r = 2/2 = 1 m

Area of tablecloth = π · 1² = π

So the excess area of the tablecloth which overhangs

= π - 1.69 = 1.45 m² (taking π = 3.14)

So the fraction of the tablecloth that overhangs
= Excess area of tablecloth ÷ total area of tablecloth
= 1.45 /π

= 0.4621

As a percentage this would be
0.4621 x 100

= 46.21%

answered
User Jaya
by
8.2k points
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