# The diameter of the circle is 8 cm. Find the area of the circle bounded by this circle.

June 26, 2021 | education

| We calculate the area of a circle whose diameter is 8 cm long.

pi = 3.14.

The area of the circle is calculated by the formula S = pi * r ^ 2.

The radius of the circle is unknown, but the diameter of the circle d = 8 cm is known.

From the formula d = 2 * r, we find the radius of the circle by the formula r = d / 2.

Substitute the known values into the formulas and calculate first the radius of the circle, and then the area of the circle.

1) r = d / 2 = 8 cm / 2 = 8/2 cm = 4 cm;

2) S = pi * r ^ 2 = 3.14 * (4 cm) ^ 2 = 3.14 * 16 cm ^ 2 = 50.24 cm ^ 2;

From this, we found that the area of the circle is S = 50.24 cm ^ 2.

Answer: 50.24 cm ^ 2.

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