The circumference of a circle is half of the perimeter of a rectangle. The area of the circle is 2464 sq. m. What is the area of the rectangle if the breadth of the rectangle is 80 m? A. 7054 Sq m B. 6128 Sq m C. 7680 Sq m D. 5572 Sq m Answer Workspace Report Discuss Answer with explanation Answer: Option C Explanation Area of a circle= πr2 2464 = 22r2/7 2464*(7/22) = r2 r2 = 784 r = 28 m Circumference = 2*22/7 * 28 = 176 sq. m Perimeter of the rectangle = 2*176 = 352 sq. m 352 = 2(l + 80) 176 = l + 80 l = 176 – 80 l = 96 Area of the rectangle = 96*80 = 7680 sq. m Workspace
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