1.

Sum of circumference of a circle and perimeter of a rectangle is 220 cm while area of circle is 1386 sq. cm. If length of rectangle is \(33\frac{1}{3}\%\) more than radius of the given circle, then find the area of rectangle.1). 408 cm22). 418 cm23). 428 cm24). 448 cm2

Answer»

Area of circle = 1386

Πr2 = 1386 ⇒ r = 21 cm

Length of RECTANGLE = 21 + (33.33/100) × 21 = 28 cm

Circumference of circle = 2πr = 132 cm

Circumference of rectangle = 220 – 132 = 88 cm

2(L + B) = 88 ⇒ b = 16 cm

Area of rectangle = 28 × 16 = 448 cm2


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