Question

A circle and rectangle have the same perimeter.The sides of the rectangle are 18cm and 26cm. What will be the area of the circle in m

Answer 1

The perimeter of circle = 2πR
The perimeter of rectangle = 2(L + B)

Where R is the radius if the circle, L is the length of the rectangle and B is the breadth of the rectangle.

As given above,
2πR = 2(L + B)
πR = (18 + 26)
πR = 44
R = 44/π I'm

Now, Area of the circle = π R^2

Substituting the value of R in above equation and we get,

Area = π (44/π)^2
= (44)(44/π)
= 1936/π

Now π = 22/7

Thus,

Area = (1936)(7/22)
Area = 616 cm^2

Answer 2

Perimeter of circle ( Circumference) = 2pi r

PERIMETER of rectangle = 2 ( L + B)

ATQ, PERIMETER OF CIRCLE = PERIMETER OF RECTANGLE

2 * 22 /7 *r = 2 ( 26 + 18 )

22 /7 * r = 44

r = 44 × 7 / 22

r = 14 cm.

Area of circle, = pi r ^2

=> 22/7 × 14 × 14

= 22 * 28

=> 616 cm ^2.