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Question

The circular region of the sign (below, left) has an area of 154 square inches. Vanessa would like to place a tiny ribbon (shaded) around the circle's edge. To be sure she has enough ribbon, she decides to buy 2 inches more of the ribbon than the original circle's circumference. How many inches of ribbon will Vanessa need to buy if she estimates ?

Answer 1

The equations to use are 1) Area of a Circle = πr² and 2) Circumference of a Circle = 2πr

So if the area is 154 then 154 = (22/7)*r² or r² = 49 which means r = 7 inches

C = 2(22/7)*7 = 44 but since she is buying 2 more inches, 44 + 2 = 46 inches