Question

? ft Find the radius of a circle with an area of 193 ft2 Round your answer to the nearest tenth. ? y

Answer 1

The area of a circle is

A = pi x r^2

Area is given as 193ft^2

pi = 3.142

193 = 3.142 x r^2

divide both sides by 3.142

193 / 3.142 = 3.142r^2 / 3.142

61.425 = r^2

take the squareroot of both sides

`\begin{gathered} r\text{ = }\sqrt[]{61.425} \\ r\text{ = 7.83ft} \\ r\text{ = 7.8ft} \end{gathered}`

The area of the circle is pi x r^2

r is the radius

from the question we are given area to be 193

since A = pi x r^2

A = 193 and p1 = 3.142

now

193 = 3.142 x r^2

the radius is unknown

to make r^2 the subject of the formula we need to divide both sides by 3.142

193 / 3.142 = 3.142r^2 / 3.142

r^2 = 193/3.142

r^2 = 61.425

then square the both sides

r = squareroot of 61.425

r = 7.8ft