A circle and a rectangle have the same perimeter. If the sides of the rectangle are 15cm and 7cm, then the area of circle is:

Let the length and breadth of the rectangle be l=15cm and b=7cm.
The perimeter of the rectangle is given by:

P=2(l+b)=2(15+7)=2×22=44cm
According to the question, the perimeter (circumference) of the circle is equal to the perimeter of the rectangle. Let r be the radius of the circle:

2πr=44
2×
7
22
​
×r=44
7
44
​
×r=44
r=7cm
Now, find the area of the circle:

Area=πr
2
=
7
22
​
×7×7=22×7=154cm
2