1/2 circle = 3/4 of what
To find out what quantity 3/4 of a half circle is, we need to understand what is meant by a "half circle."
A circle is a two-dimensional shape with a curved boundary, where all points on the boundary are equidistant from the center point. The term "half circle" refers to a semicircle, which is exactly half of a circle. It is formed by slicing a whole circle into two equal halves along a diameter.
To determine what 3/4 of a half circle is, we can first find the area of a half circle and then calculate 3/4 of that area.
The formula for the area of a circle is A = πr^2, where A represents the area and r is the radius (the distance from the center point to any point on the boundary). In the case of a half circle, the radius is known, and we can use this information to calculate the area.
Let's assume the radius of the half circle is 'r'. So, the area of the half circle is:
A_half_circle = (1/2) * π * r^2
Now, to find 3/4 of the area of the half circle, we can multiply the area of the half circle by 3/4:
(3/4) * A_half_circle = (3/4) * (1/2) * π * r^2
Simplifying this expression, we get:
(3/4) * A_half_circle = (3/8) * π * r^2
Therefore, 3/4 of a half circle is equal to (3/8) times π times the square of the radius.