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The diameter of a circle is 33 cm. Find its area to the nearest whole number.
To find the area of a circle, you can use the formula:
A = π * r^2
Where A is the area and r is the radius of the circle. Since you’re given the diameter, you need to first find the radius, which is half of the diameter.
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Given the diameter is 33 cm, the radius (r) would be half of that:
r = 33 / 2 = 16.5 cm
Now, you can substitute this radius into the formula to find the area:
A = π * (16.5)^2
A = π * 272.25
Now, you can use an approximation for π. A commonly used approximation is π ≈ 3.14:
A ≈ 3.14 * 272.25
A ≈ 855.915 cm^2
Rounded to the nearest whole number, the area is 856 cm^2.
Circumference and Area of a Circle
The circumference C of a circle is given by the formula:
C = 2 * π * r
Where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14159.
The area A of a circle is given by the formula:
A = π * r^2
Again, r is the radius of the circle and π is the mathematical constant.
So, if you know the radius of a circle, you can easily calculate its circumference and area using these formulas. If you have the diameter d of the circle instead of the radius, you can use the relationship d = 2r to find the radius and then use the formulas above.
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