A circle of radius $10$ cm cut out of cardboard weighs $120$ g.

1. How much would a $60°$ sector weigh?

   Hint (a):

   What part of the entire cardboard would $60°$ represent?

2. How much would a circle of radius $15$ cm cut out of the same cardboard weigh?

   Step 1(b):

   What is the area of a circle?

   Step 2(b):

   Set up information involving area and weight.

   Step 3(b):

   Set up a proportion and solve for the new weight.

   Answer (b):

   A_circle $= πr^2$
   A_original $= 100π$
   Weight_original $= 120$
   A_new $= 15^²π = 225π$
   Weight_new $=$ ???