SOLUTION: A banner is made of a square and a semicircle. The square has side lengths of 26 inches. One side of the square is also the diameter of the semicircle. What is the total area of th

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A banner is made of a square and a semicircle. The square has side lengths of 26 inches. One side of the square is also the diameter of the semicircle. What is the total area of th      Log On

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Question 944705: A banner is made of a square and a semicircle. The square has side lengths of 26 inches. One side of the square is also the diameter of the semicircle. What is the total area of the banner? Use 3.14 for pi
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Area of square =(26 in)(26 in)=676 sq in
Area of semi-circle =1%2F2%2Api%2Ar%5E2=1%2F2%2Api%2A%2813+in%5E2%29=%28169%2Api%29%2F2=84.5%2Api
Let pi=3.14 (84.5 sq in)(3.14)=265.33 sq in
Total area=square+semi-circle
Total area=676 sq in+265.33 sq in
Total area=941.33 sq in ANSWER: The total area of the banner is 941.33 sq in.