Question

The area of a circle is 154 cm². Its diameter is ____________.

Options

• 7 cm

• 14 cm

• 21 cm

• 28 cm

Answer 1

The area of a circle is 154 cm². Its diameter is 14 cm.

Explanation:

Here area of the circle, A = 154 cm², Radius, r =?

Area of the circle = 154 cm² …(Given)

`therefore pi "r"^2 = 154`

`=> 22/7 xx "r"^2 = 154`

`=>"r"^2 = 154 xx 7/22`

`= 7 xx 7`

`=> "r" = 7  "cm"`

∴ Diameter of the circle = 2 x r = 2 x 7 = 14 cm