MATH 018 DIFFERENTIAL CALCULUS
Formulas from Geometry
Prepared by: Dr. Jeffrey G. Capacite
Following are some of the formulas from geometry.
1.) The Pythagorean theorem for a right triangle: a2 + b2 = c2
2.) Circumference of a circle: C = 2r
3.) Area formulas for plane figures:
a.) Rectangle: A = lw
1
b.) Triangle: A = bh
2
c.) Equilateral Triangle of side s: A =
d.) Parallelogram: A = bh
1
e.) Trapezoid: A = ( b1 + b 2 ) h
2
2
f.) Circle: A = r
1
3s2
4
4.) Surface area formulas for solids:
a.) Right circular cylinder:
(i) Lateral area: S = 2rh
(ii) Total area: S = 2rh + r2
b.) Right circular cone:
(i) Lateral area: S = r r 2 + h2
(ii) Total area: S = r r 2 + h2 + r 2
c.) Sphere: S = 4r2
5.) Volume formulas for solids:
a.) Rectangular parallelepiped: V = lwh
b.) Circular cylinder: V = r2h
1 2
c.) Circular cone: V =
r h
3
4 3
d.) Sphere: V =
r
3
e.) Prism: V = Bh , where B is the area of the base.
1
f.) Pyramid: V = Bh , where B is the area of the base.
3
1