Half of a circle is shaded. The diameter is 32cm. Calculate the area of the shaded region.
A = pi * r^2
A = (3.14 * 16^2) / 2
To calculate the area of the shaded region, we need to find the area of half the circle.
The formula for the area of a circle is A = πr², where A is the area and r is the radius. However, in this case, we are given the diameter (which is twice the length of the radius), so we need to find the radius first.
Given that the diameter is 32 cm, we can divide it by 2 to get the radius:
Radius = Diameter ÷ 2 = 32 cm ÷ 2 = 16 cm
Now that we have the radius, we can use the formula to find the area:
Area of half the circle = (1/2) × π × r²
= (1/2) × π × 16²
≈ (1/2) × 3.14 × 256
≈ 402.24 cm²
Therefore, the area of the shaded region is approximately 402.24 square centimeters.