The area of a circle is found with the formula A =〖πr〗^2, where π represents 3.14. If a tile artist is placing tiles in a circular mosaic pattern and the area of the circle is 658 square feet, what is the approximate radius of the circle in feet?

a.)10****
b.)13
c.)14
d.)17

Please Check my Answer i really need help on this one i'm so confused

First of all the area of a circle is

π r^2 , not (πr)^2

so πr2= 658
r^2 = 658/π
r = √(658/π) = appr 14.47

For those of you who have the answers

11
13
15
17
It’s 15 👁👁

Just looking at the formula, you could surely see that 10 is wrong, because then the area would be 100π = 314, not 658.

So, πr^2 = 658
r^2 = 658/π = 209.4479
r = 14.47

what is it?

So its 14?

wait it is 14

To find the approximate radius of the circle, we need to rearrange the formula for the area of a circle. The formula is A = πr^2, where A represents the area and r represents the radius.

Now, the goal is to determine the radius, so we can rearrange the formula as follows: r = √(A/π).

Given that the area of the circle is 658 square feet, we can substitute A = 658 into the formula: r = √(658/π).

Next, we need to approximate the value of π. The given value for π is 3.14, which is an approximation. Hence, we substitute π = 3.14 into the formula: r = √(658/3.14).

Now, we can simplify the expression inside the square root: r ≈ √(209.554).

Calculating the square root, we find that r ≈ 14.47.

Since we are asked to find the approximate radius in feet, we round the value to the nearest whole number.

Hence, the approximate radius is 14 feet (option c).