If 1/3 of a circle with a radius of 6 is shaded, what is the area of the shaded portion of the circle?
HINT: A=\Pir^2
(Leave your answer as a decimal rounded to the nearest tenths place)
(3.14 * 36) / 3 = ?
To find the area of the shaded portion of the circle, we first need to find the area of the whole circle. We can use the formula A = πr^2, where A represents the area and r represents the radius.
Given that the radius is 6, we can substitute this value into the formula:
A = π(6)^2
A = 36π
Now, since we know that 1/3 of the circle is shaded, we need to find the area of this shaded portion. We can do this by multiplying the area of the whole circle by 1/3:
Shaded area = 1/3 * 36π
Shaded area = 12π
To leave the answer as a decimal rounded to the nearest tenths place, we can replace π with its approximate value of 3.14:
Shaded area ≈ 12 * 3.14
Shaded area ≈ 37.68
Therefore, the area of the shaded portion of the circle is approximately 37.68 square units.