The total area of a circle and a rectangle is 1166 cm2. The diameter of the circle is 28 cm. If length of the rectangle is 25 cm., what is the sum of circumference of the circle and perimeter of rectangle?
-
186 cm.
-
182 cm.
-
184 cm.
-
Can’t be determined
-
None of these
B
Correct answer
Explanation
Circle area = πr² with r = 14 cm (half of diameter 28). Area = 616 cm². Rectangle area = 1166 - 616 = 550 cm². With length 25 cm, width = 550/25 = 22 cm. Perimeter = 2(25+22) = 94 cm. Circumference = 2πr = 88 cm. Sum = 88 + 94 = 182 cm.