A circle has a circumference of 62.8 cm what is its area?
C = pi * d
62.8 = pi * d
62.8/pi = d
A = pi * r^2
A = pi * 0.5d
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To find the area of a circle, we can use the formula:
A = πr²
where A represents the area, π (pi) is approximately 3.14159, and r represents the radius of the circle.
Given that the circumference of the circle is 62.8 cm, we can use the formula for circumference to find the radius:
C = 2πr
Since the circumference given in the question is 62.8 cm, we have:
62.8 = 2πr
To solve for r, we divide both sides of the equation by 2π:
r = 62.8 / (2π)
r = 9.99 cm (approximately)
Now that we have the radius, we can use it to find the area of the circle:
A = πr²
A = 3.14159 * (9.99)²
A ≈ 314.16 square cm
Therefore, the area of the circle is approximately 314.16 square cm.
To find the area of a circle, we need to use the formula:
Area = π * radius^2
Given the circumference of the circle is 62.8 cm, we can use another formula to find the radius:
Circumference = 2 * π * radius
Since we are given the circumference, we can rearrange the formula to solve for the radius:
radius = Circumference / (2 * π)
Now, let's substitute the given value of the circumference into the formula:
radius = 62.8 cm / (2 * 3.14)
Simplifying the equation, we have:
radius = 62.8 cm / 6.28
So, the radius is 10 cm.
Now that we know the radius, we can calculate the area of the circle:
Area = π * (10 cm)^2
Using the value of π as approximately 3.14, we calculate:
Area = 3.14 * 100 cm^2
Finally, multiplying, we find that the area of the circle is:
Area = 314 cm^2
Therefore, the area of the circle with a circumference of 62.8 cm is 314 square centimeters.