Area Of A Semi-Circle Definitions and Examples

Definitions, Formulas, & Examples

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    What is the Area Of a Semi Circle

    A semi-circle is a half of a circle. It is created when we take a circle and divide it in half by drawing a line through the center of the circle perpendicular to the plane on which the circle lies. The line that divides the circle in half is called the diameter, and the point where the diameter meets the circle is called the center. The distance from the center to any point on the circumference is called the radius.

    What is a Semi Circle?

    A semi circle is half of a circle. It is created when a circle is divided in half by a line that passes through the center of the circle. The line that divides the semi circle is called the diameter. The diameter can be used to calculate the circumference and area of the semi circle.

    The Formula for the Area of a Semi Circle

    A semi circle is half of a circle. The area of a semi circle is half of the area of a full circle. The formula for the area of a semi circle is A = 1/2 * pi * r^2, where r is the radius of the semi circle.

    How to Calculate the Area of a Semi Circle

    A semi circle is a shape that is half of a circle. Because a circle is 360 degrees, a semi circle is 180 degrees. The area of a semi circle can be calculated by taking the radius of the semi circle (half of the diameter of the full circle) and squaring it. This number is then multiplied by pi (3.14).

    The Area of a Semi Circle in Real Life

    When we think about the area of a semi circle, we typically think about a mathematical formula or a diagram in a textbook. However, the concept of a semi circle can be applied to real life situations. For example, when considering the area of a slice of pie, we are really finding the area of a semi circle.

    This same principle can be applied to any situation where you need to find the area of a semi circle. Whether you’re baking a pie or trying to determine how much paint you need to cover half of a wall, all you need to do is remember that a semi circle is just half of a full circle.


    Area of A Semi-Circle

    Result

    (π r^2)/2≈1.5708 r^2
(assuming radius r)

    Visual representation

    
(drawn with radius 1)

    Properties of sector

    diameter | 2 r
chord length | 2 r
area | (π r^2)/2≈1.5708 r^2
perimeter | (2 + π) r≈5.14159 r
arc length | π r
inscribed angle | 90° = π/2 rad≈1.571 rad
apothem | 0
sagitta | r
(assuming center (x_0, y_0), radius r, and rotation angle θ_0 rad)

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