If your answer is a surd or `pi` then you can’t get a more accurate number (as long as they have been simplified).
Exact answer = Surd or `pi`
1. The area of a square = 5m2, what is the exact length of one side of the square?
Area of a square = Length x Height
And in this case as length and height are the same
Area of a square = Length x Length
Area of a square = L2
Therefore 5m2 = L2
Whatever you do to one side of an equation, you must also do to the other.
So, the square root of both sides.
Answer: Exact length =`sqrt5`
2. Find the exact area of a circle with radius 5
Area of a circle = `pir^2`
Area of a circle = `pi5^2`
= `pi25` `m^2`
Answer: Area of a circle = `pi25` `m^2`