Find the circumference of the circle if the area of the circle is 333.1 ft². Use 3.14 as the value of π.
Question
Find the circumference of the circle if the area of the circle is 333.1 ft². Use 3.14 as the value of π.
Solution
To find the circumference of the circle, we first need to find the radius. We can do this by using the formula for the area of a circle, which is A = πr².
Step 1: Set up the equation to solve for r (radius). 333.1 = 3.14 * r²
Step 2: Divide both sides by 3.14 to isolate r². r² = 333.1 / 3.14 r² = 106.051
Step 3: Take the square root of both sides to solve for r. r = √106.051 r = 10.298
Now that we have the radius, we can find the circumference using the formula C = 2πr.
Step 4: Substitute the radius into the circumference formula. C = 2 * 3.14 * 10.298 C = 64.6 ft
So, the circumference of the circle is approximately 64.6 feet.
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