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Daphne has a rope that is 60 meters long. She wants to use it to mark the boundary of a circle whose radius is an integer. What's the largest possible radius for her circle, in meters?

 Mar 10, 2019

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Daphne has a rope that is 60 meters long. She wants to use it to mark the boundary of a circle whose radius is an integer. What's the largest possible radius for her circle, in meters? 

 

Boundary is another way of saying circumference. 

 

Circumference = pi times diameter

 

60  =  3.14 x D 

 

D  =  60/3.14  =  19.11

 

Radius is half the diameter so the radius would be 9.55 

 

Truncating to an integer, the largest radius would be 9 meters 

 

.

 Mar 10, 2019
 #2
avatar
+1
Best Answer

 

Daphne has a rope that is 60 meters long. She wants to use it to mark the boundary of a circle whose radius is an integer. What's the largest possible radius for her circle, in meters? 

 

Boundary is another way of saying circumference. 

 

Circumference = pi times diameter

 

60  =  3.14 x D 

 

D  =  60/3.14  =  19.11

 

Radius is half the diameter so the radius would be 9.55 

 

Truncating to an integer, the largest radius would be 9 meters 

 

.

Guest Mar 10, 2019
 #3
avatar+142 
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Thanks

 Mar 10, 2019

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