find the radius of a circle whose area is 1 113.04 square millimeter
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Step-by-step explanation:
If the area of a circle is 113.04 square meters, then the radius r of the circle is found as follows:
The formula for the area, A, of a circle = πr², where r is the radius of the circle. We’ll use the value of 3.14 as our approximation for the irrational number π.
Now, solving for the radius r, we have:
A = πr²
πr² = A (since equality is symmetrical, i.e., if a = b, then b = a)
πr²/π = A/π
r² = A/π
r² = (113.04 m²)/3.14
r² = 36 m²
Now, taking the square root of both sides, we get:
√r² = ±√(36 m²)
r = ± 6 meters
Since we physically can’t have a negative distance, then the radius
r = 6 meters.
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