A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 24 inch long. Which of the following is closest to the fraction of the tabletop covered by the mat ? A. 5/12 B. 2/5 C. 1/2 D. 3/4 E. 5/6 Answer is C Thanks & Regards Vinni

The area of the circle is calculated as C = pie(r^2) as the diameter is 20 thus the radius will be 10 therefore C = pie (10^2) = 314 the area of the square is calculated as S^2, as each side of the square table is 24 inch long thus the area of the square will be 24^2 = 576 The area that is covered by the circular mat is 314/576 = 54% or nearly 1/2....the answer is C

vinni.k wrote:A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 24 inch long. Which of the following is closest to the fraction of the tabletop covered by the mat ? A. 5/12 B. 2/5 C. 1/2 D. 3/4 E. 5/6 Answer is C Area of the circular mat = �r² ≈ 3*10². Area of the table = s² = 24². Mat/table = (3*10*10)/(24*24) = (3*25*4)(3*24*8) ≈ 1/2. The correct answer is C.

vinni.k wrote:A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 24 inch long. Which of the following is closest to the fraction of the tabletop covered by the mat ? A. 5/12 B. 2/5 C. 1/2 D. 3/4 E. 5/6 Since the diameter of the mat is 20 inches, the radius is 10 inches. The area of the mat is: area = Ï€r^2 = Ï€(10)^2 = 3.14 x 100 = 314 square inches Since each side of the square tabletop is 24 inches long, the area is: area = side^2 = 24 x 24 = 576 square inches Thus, the fraction of the table covered by the mat is 314/576 = 157/288 157/288 is about 160/290 = 16/29, which is about 1/2. Answer: C