SOLUTION: Given a circle with a radius of 2 , which is the length of an arc measuring 75

Algebra.Com
Question 456660: Given a circle with a radius of 2 , which is the length of an arc measuring 75
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

So, convert 75° to radians and multiply by 2. Now you could go through the process of setting up a proportion:

} then solve for

Or, use a much easier way:

write angle as a sum

And we know that and , so must equal


Then, multiplied by the radius, , your arc length is } which is

RELATED QUESTIONS

Given a circle with the radius of 2, which is the length of an arc measuring 75... (answered by nerdybill,solver91311)
an arc of a circle, with a 250 in. radius, is of length 75 in.what is the corresponding... (answered by Alan3354)
A circle has a radius of 5 cm ..what is the length of an arc measuring 80... (answered by nerdybill)
find the length of the arc on a circle with a radius of 20 ft and is intercepted by a... (answered by Alan3354)
A circle has a central angle measuring 7pi/6 radians that intersects an arc of length 18... (answered by josgarithmetic)
an arc of length 32 in is found in a circle with a radius of 8 in. find the measure of... (answered by stanbon,ankor@dixie-net.com,Alan3354)
PLS. HELP ME SOLVE THIS PROBLEM. TNX PROB. 1 IN A CIRCLE OF RADIUS 6 INCHES, THE LENGTH (answered by Theo)
In a circle, the length of an arc with a measure 120 is 14pi. Find the radius of the... (answered by checkley75)
In a circle with a radius of 6 ft, an arc is intercepted by a central angle of 3π2... (answered by Alan3354)