The Area Of A Circle Is 460.show How Find The Radius Of The Cirle?

The area of a circle is given by the formula
a = Pi*r² (where "a" is the area, and "r" is the radius of the circle. Pi is an irrational number approximated by 3.1416.)

We can solve for r:
a/Pi = r² (divide both sides by Pi)
√[a/Pi] = r (take the square root of both sides)

√[460/3.1416] = r (plug in the numbers)
√146.42 = r (evaluate)
12.1 = r

Check
Pi*r² = 460
3.1416*(12.1)² = 460
3.1416*146.41 = 460 (we note that 146.41 here is not the same as 146.42 above)
459.962 = 460 (We recognize that there is some error. This amount appears to be acceptable and unavoidable, given the precision of the math.)

The formula to calculate the radius from the area of the circle is as follows:

A = pi * r²

where,

A = area

pi = 3.14

r = radius

By putting the value of area in the equation you will get,

A = pi * r2

460 = 3.14 * r2

460/3.14 = r2

146.5 = r2

Taking square root on both sides, which will give,

r = 12.1