Find the shaded area,
It wont let me add the diagram but it is 1/4 of a circle and the base is 4cm!!!
To find the shaded area of a 1/4 circle with a base of 4 cm, we first need to calculate the area of the entire circle and then take one-fourth of that value.
Here are the steps to find the shaded area:
1. Calculate the area of the entire circle using the formula A = π * r^2, where A represents the area and r represents the radius. In this case, since the diagram shows a quarter of the circle, the radius is equal to half of the diameter, which is the base. So, the radius (r) is 4 cm / 2 = 2 cm.
Area of the entire circle = π * (2 cm)^2
2. Once you have the area of the entire circle, divide it by 4 to obtain the area of one-fourth (since the shaded part represents 1/4 of the circle).
Area of the shaded region = (Area of the entire circle) / 4
3. Calculate the final answer by substituting the values into the formula and performing the calculations.
Area of the shaded region = (π * (2 cm)^2) / 4
Simplifying further, the shaded area equals (4π cm^2) / 4
The 4's cancel out, leaving the shaded area equal to π cm^2.
So, the shaded area of the given diagram is π cm^2 (or approximately 3.14 cm^2).