Question

a circle and a rectangle have the same perimeter the sides of the rectangle are the ones who 18 cm and 26 cm what is the area of the circle ?

Answer 1

Hola Friend ✋✋✋

Perimeter of circle = Perimeter of rectangle

2πr = 2 × ( l + b )

πr = 18 + 26

r = 44 × 7 / 22

r = 14


Area = πr²

= 22/7 × 14 × 14

= 616 cm²


Hope it helps

Answer 2

Hi !!!!!!

Here is your answer dear,

Given :- sides of rectangle = 18cm and 26cm

(According to the question)
The perimeter of circle = perimeter of rectangle

$= > 2\pi \: r = 2(length \: + breadth) \\ \\ = > 2 \times \frac{22}{7} \times r \: = 2(18 + 26) \\ \\ = > \frac{44}{7} \times r \: = 2 \times 44 \\ \\ = > \frac{44}{7} \times r = 88 \\ \\ = > r = 88 \div \frac{44}{7} \\ \\ = > r = 88 \times \frac{7}{44} \\ \\ = > r = 2 \times 7 \\ \\ = > r = 14$
radius = 14cm


$Area \: \: of \: \: circle = \pi \: {r}^{2} \\ \\ = \frac{22}{7} \times {(14)}^{2} \\ \\ = \frac{22}{7} \times 14 \times 14 \\ \\ = \frac{22 \times 14 \times 14}{7} \\ \\ = \frac{4312}{7} \\ \\ = 616 \\ \\Area \: \: of \: \: circle =616 {cm}^{2}$



Hope it helps !!!!!!