Question

Two circles are drawn inside a rectangle so their circumferences touch each other and three sides of the rectangle. If the areas of the circles are 8.3cm2 (squared) each, calculate the area of the rectangle.

Answer 1

Answer:

area of a circle=8.3cm²

area of the circle=(22/7)r²

=>8.3=(22/7)r²

=>(8.3×7)/22=r²

=>58.1/22=r²

=>2.64=r²

=>r=1.62cm

two circles are connected by their circumference and area also same

hence, diameter of one circle =half length of rectangle and breath = diameter of a circle.

hence, length=4r=6.5cm and breath=3.25cm

hence , area of a rectangle = l×b

area= 6.5×3.5

=>area=22.75cm²

Answer 2

Given :-

• 2 circle inside a Rectangle , such that, their circumferences touch each other and three sides of the rectangle.
• Area of Each Circle = 8.3cm² .

To Find :-

• Area of Rectangle ?

Solution :-

→ Area of Circle = 3.14 * r²

→ 3.14 * r² = 8.3

→ r² = 2.64

→ r = 1.6cm (Approx).

So,

→ diameter of Each circle = 1.6 * 2 = 3.2 cm.

Now,

→ Length of Rectangle =sum of Diameter of Both circles

→ Breadth of rectangle = Diameter of circle

So ,

→ Length = 3.2 + 3.2 = 6.4 cm.

→ Breadth = 3.2cm.

→ Area of Rectangle = Length * breadth = 6.4 * 3.2 = 20.48cm² (Approx). (Ans).