Question

The area of a rectangle is 242cm^2 such that its
breadth is twice its length. find the area of a circle
whose diameter is same as the length of the rectangle.​

Answer 1

Answer:

Area of Circle = 380 cm² (approximately)

Step-by-step explanation:

Let the breadth be x,

then its Length will be 2x

Now,

Area = L × B

242 = x × 2x

242 = 2x²

x² = 242/2

x² = 121

x = √121

x = 11

Hence,

The breadth of the Rectangle is 11 cm and length is 22 cm.

Now,

A circle has a diameter of length of the rectangle which is 22 cm.

Then,

Area of Circle = πr²

Here

d = 22 cm

r = d/2

r = 22/2

r = 11 cm

Taking π = 3.14

Area = 3.14 × 11 × 11

Area = 3.14 × 121

A = 379.94 cm²

Approximately,

A = 380 cm²

Hope it helped and believing you understood it....All the best