Find the radius of a circle that has an area of 154cm^2. (to nearest cm)

1 answer

We know that the area of a circle is given by the formula:

Area = pi * radius^2

where pi is a mathematical constant with an approximate value of 3.14.

So, to find the radius of the circle with area 154cm^2, we can rearrange the formula as:

radius = sqrt(Area / pi)

Substituting the value of area as 154cm^2 and pi as 3.14, we get:

radius = sqrt(154 / 3.14)

radius ≈ 7.86cm

Therefore, the radius of the circle is approximately 8 cm (rounded to the nearest cm).