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A circle has a radius of 32 inches. Find the arc subtended by an angle of:
60 °
135 °
5/4 pi radian

 Jun 25, 2014

Best Answer 

 #1
avatar+128460 
+5

I'm taking that you mean "arc length"

The arc length (S) is given by.....

S = rθ     where r is the radius and "theta" is in radians

 

So 60 ° = pi/3 rads   and we have

S = 32(pi/3) = about 33.51 inches

 

And 135 °  = (3/4)pi rads

So we have

S = 32(3/4)pi = about 75.4 inches

 

And for 5/4pi rads, we have

S = 32(5/4)pi = about 125.7 inches

 

 Jun 25, 2014
 #1
avatar+128460 
+5
Best Answer

I'm taking that you mean "arc length"

The arc length (S) is given by.....

S = rθ     where r is the radius and "theta" is in radians

 

So 60 ° = pi/3 rads   and we have

S = 32(pi/3) = about 33.51 inches

 

And 135 °  = (3/4)pi rads

So we have

S = 32(3/4)pi = about 75.4 inches

 

And for 5/4pi rads, we have

S = 32(5/4)pi = about 125.7 inches

 

CPhill Jun 25, 2014
 #2
avatar+118608 
+3

It is good that you have posted here.  (Catalina has come across from the Spanish site)

Do you understand CPhill's answer?  If you do not it is important that you say so.  

If you do then it would be nice if you say gracias and give him a thumbs up. 

 

Es bueno que los que has publicado aquí. (Catalina ha llegado a través de la página española) ¿Entiende usted la respuesta de CPhill? Si no lo hace, es importante que usted lo dice. Si lo hace, entonces sería agradable si usted dice gracias y le dan un pulgar hacia arriba.

 Jun 26, 2014

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