Question

Mandy wants to put some lace trim around the outside of a round tablecloth she expanded the original tablecloth had a radius of 2 feet and a circumference of 12.56 Ft if the tablecloth now has a radius of 3 ft is 15 ft of lace enough explain

Answer 1

45 feet of lace is not enough, because the tablecloth would need 50.24 feet of lace to go around the outside.

Explanation:

Solve

You know that

C

d

= π for all circles.

C

2 × r

=

3.14

1

• Write a proportion using 2 × r for d.

C

2 × 8

=

3.14

1

• Substitute the given values.

C

16

=

3.14

1

• Multiply.

C

16

=

3.14 × 16

1 × 16

Since 1 times 16 is 16, multiply 3.14 by 16 to find the value of C.

C

16

=

50.24

16

C = 50.24

The circumference of the expanded tablecloth is 50.24 feet.

45 feet of lace is not enough, because the tablecloth would need 50.24 feet of lace to go around the outside.

Answer 2

To determine if the amount of lace is enough to be placed around the tablecloth, we determine the circumference of the tablecloth through the equation,
C = 2πr

where C is circumference,
r is the radius

Substituting the known values,
C = 2π(3 ft) = 18.85 ft

Hence, the 15 ft lace will not be enough for the tablecloth.