Question

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) The area of the rectangle. (ii) The area of each circle.

Answer 1

Answer:

Area of rectangle = 6x6=36cm2

area of a circle=πr2=3.14x3^2

= 28. 26cm2

Answer 2

Answer:

Area of the rectangle= $144cm^2$

Area of each circle= $28\frac{2}{7}cm^2$

Step-by-step explanation:

When the circles are drawn side by side in a circle,

the width of the rectangle becomes the diameter of one circle

which is 6cm.

the length of the rectangle is equal to the sum of the diameter of the four circles, that is 6x4=24cm

Therefore, the area of the rectangle is computed as;

$Area= Length x Width\\Area= 24 x 6\\Area= 144 cm^2$

The area of each circle is given as

$Area=\pi *r^2\\Area=\frac{22}{7}*3^2\\ Area=28\frac{2}{7} cm^2$