What is the circumference of the circle round to the nearest tenth and show all work and the area of the circle is 9.5m
12 in
To find the circumference of a circle, there are a few formulas you can use. One of the most common ones is C = 2πr, where C represents the circumference and r represents the radius of the circle.
In this case, you're given the area of the circle as 9.5m². To find the radius, we can use the formula A = πr², where A represents the area of the circle.
Let's solve for r first:
A = πr²
9.5 = πr²
To isolate r, divide both sides of the equation by π:
9.5/π = r²
Now, take the square root of both sides to solve for r:
√(9.5/π) = r
Next, we can substitute the value of r into the circumference formula:
C = 2πr
C = 2π(√(9.5/π))
Simplify the expression inside the parentheses:
C = 2π(√(9.5)/√(π))
The square root of π is usually not simplified further, so the final expression for the circumference, rounded to the nearest tenth, is:
C = 2π(√(9.5)/√(π))
Using a calculator, or estimating π as 3.14159, you can evaluate this expression to get the numerical value of the circumference rounded to the nearest tenth.
pi r^2 = 9.5
c = 2pi r = 2pi √(9.5/pi) = 10.93 m