Areas of Geometric Figures
Areas of geometric figures like rectangles, triangles, trapezoids and more
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Rectangle
Area of a rectangle can be expressed as
A = b h (1)
where
A = area (m2, ft2)
b = width (m, ft)
h = height (m, ft)
Parallelogram
Area of a parallelogram can be expressed as
A = b h (2)
Triangle
Area of a triangle can be expressed as
A = 1/2 b h (3)
Trapezoid
Area of a trapezoid (or trapezium) can be expressed as
A = 1/2 (a + b) h (4)
Circle
Area of a circle can be expressed as
A = π r2 (5)
where
r = radius (m, ft)
Sector and Segment of a Circle
Sector of Circle
Area of a sector of circle can be expressed as
A = 1/2 θr r2 (6)
= 1/360 θd π r2
where
θr = angle in radians
θd = angle in degrees
Segment of Circle
Area of a segment of circle can be expressed as
A = 1/2 (θr - sin θr) r2
= 1/2 (π θd/180 - sin θd) r2 (7)
Right Circular Cylinder
Lateral surface area of a right circular circle can be expressed as
A = 2 π r h (8)
where
h = height of cylinder (m, ft)
r = radius of base (m, ft)
Right Circular Cone
Lateral surface area of a right circular cone can be expressed as
A = π r l
= π r (r2 + h2)1/2 (9)
where
h = height of cone (m, ft)
r = radius of base (m, ft)
l = slant length (m, ft)
Sphere
Lateral surface area of a sphere can be expressed as
A = 4 π r2 (10)
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