Question 244

The area of a rectangle is equal to the area of a circle with circumference equal to 39.6 m. What is the length of the rectangle if its breadth is 4.5 m?

Solution

Circumference of a circle = $$2\pi r$$ = 39.6 cm

2*(22/7)r = 39.6
44/7 r = 39.6
r = 6.3
Area of circle = $$\pi r^2$$ = (22/7)(6.3)(6.3) = 124.74

Let the length of the rectangle be l
Since area of the rectangle is equal to area of circle
lb = 124.74
l*4.5 = 124.74
l = 27.72

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