Area of circle is 32 cm² what were the radius of the circle be?
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Step-by-Step Solution
Step 1: Recall the formula for the area of a circle
The area of a circle, denoted by A, is calculated using the formula A=πr2, where r represents the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.
Step 2: Substitute the given area into the formula
We are given that the area of the circle is 32 cm2. We substitute this value into the area formula, setting A=32.
Step 3: Isolate the radius squared term
To find the radius, we need to isolate r. First, we divide both sides of the equation by π to get an expression for r2.
Step 4: Solve for the radius
To find r, we take the square root of both sides of the equation. Since the radius must be a positive value, we only consider the positive square root.
Step 5: Calculate the approximate value of the radius
Using the approximate value of π≈3.14159, we can calculate the numerical value of the radius. The radius is approximately 3.19 cm.