Question

The area of the circle is 154 cm². The radius of the circle is ______.

Options

• 7 cm

• 14 cm

• 3.5 cm

• 17.5 cm

Answer 1

The area of the circle is 154 cm². The radius of the circle is 7 cm.

Explanation:

Area of circle = 154 cm²

`=> pi "r"^2 = 154  "cm"^2`

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

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

`=> "r"^2 = 7 xx 7 = 49`

`therefore "r" = sqrt49 = 7`