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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

Respuesta :

Yna9141
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. 

Answer:

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

Step-by-step 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.

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