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What is the area of a circle whose circumference is $1447$ meters? (Use $\pi = 3.14$ ) (Answer: $166698.73 \, \text{m}^2$ )

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Convert between customary and metric systems

Full solution

Q. What is the area of a circle whose circumference is

1447

meters? (Use

\pi = 3.14

) (Answer:

166698.73 \, \text{m}^2

)

Find Radius: First, we need to find the radius of the circle. The formula for circumference is $C = 2\pi r$ , where $C$ is the circumference and $r$ is the radius.
Calculate Radius: We rearrange the formula to solve for $r$ : $r = \frac{C}{2\pi}$ . We plug in the given values: $r = \frac{1447}{2 \times 3.14}$ .
Find Area: Now, calculate the radius: $r = \frac{1447}{(2 \times 3.14)} = \frac{1447}{6.28} = 230.25$ meters.
Calculate Area: Next, we use the formula for the area of a circle, $A = \pi r^2$ , to find the area.
Calculation Error: We plug in the radius into the area formula: $A = 3.14 \times (230.25)^2$ .
Calculation Error: We plug in the radius into the area formula: $A = 3.14 \times (230.25)^2$ .Calculate the area: $A = 3.14 \times 53015.0625 = 166498.29625 \, \text{m}^2$ . Oops, looks like I made a mistake in the calculation.

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