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Mathematics 24 Online
OpenStudy (sighn0more):

Find the radius and area of a sector of perimeter 36 cm with an angle of 2π/3.

OpenStudy (sighn0more):

Already I've set up an equation for the perimeter: 2x + y = 36, where x is the radii and y is the arc length

OpenStudy (sighn0more):

The problem is that I don't know how to go from here...I just know that I need to possibly make a system of equations????

OpenStudy (vishweshshrimali5):

Recall the relationship between arc length and angle subtended by the arc..

OpenStudy (sighn0more):

l = theta*r????

OpenStudy (vishweshshrimali5):

Exactly!!

OpenStudy (vishweshshrimali5):

You know theta, and r... And here, l will be your y... So, there you go.. you have a system of equations

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