four circles are drawn side by side in a line and enclosed by a rectangle as shown below.If the radius of each of the circles is 3 cm,then calculate i) Area of the rectangle ii) Area of each circle
Answers
If the radius of each of the circles is 3 cm,then the area of the rectangle enclosing the four circles is 144 cm² and the area of each circle is 28.28².
Step-by-step explanation:
It is given that,
The radius of each circle, r = 3 cm
There are 4 circles drawn in a line and is enclosed within a rectangle as shown in the figure attached below.
Case 1: Area of rectangle
Referring to the figure we can find the diameter of each of the circle vertically, which will correspond to the breadth of the rectangle.
∴ The diameter of each circle = The breadth of the rectangle = 2 * r = 2 * 3 = 6 cm
Also, we can find the length of the rectangle by joining the diameters of each of the circle.
Therefore,
The length of the rectangle = 4 * [diameter of each circle] = 4 * 6 = 24 cm
Thus,
The area of the rectangle is,
= length * breadth
= 24 * 6
= 144 cm²
Case 2: Area of each circle
Thus,
The area of each circle is given by,
= πr²
= (22/7) * (3)²
= 28.28 cm²
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