Question

find the radius of a circle whose area is twice the area of a circle radius 14 cm ?

Answer 1

The radius of required circle is $x=14\sqrt{2}$.

Step-by-step explanation:

Area of a circle is

$Area=\pi r^2$

If radius of a circle is 14 cm then the area of the circle is

$A_1=\pi(14)^2$

$A_1=196\pi$

Let the radius of circle be x, the area of circle is

$A_2=\pi x^2$

It is given that the area of required circle is twice the area of a circle radius 14 cm.

$A_2=2A_1$

$\pix^2=2(196\pi)$

Divide both sides by π.

$x^2=2(14)^2$

Taking square root on both sides.

$x=\sqrt{2(14)^2}$

$x=14\sqrt{2}$

Therefore, the radius of required circle is $x=14\sqrt{2}$.

#Learn more

Find the area of circle whose radius 7 cm

https://brainly.in/question/2275832

The radius of a circle is 7 centimeter. find the radius of that circle whose area is double of the area of the circle.

https://brainly.in/question/2570697

Answer 2

Answer:

7 cm is the correct answer