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Geometry And Measurement

Enter values below for automatic calculations

= area 
= base
= diameter
= height
= length
= radius
= 3.1416 
= circumference = 2πr or 22/7d 

Areas

= πr² or 0.7854 d² 
= bh 
= .5 bh 
= .5 two parallel sides x h 
= 0.8862 d 
= 1.1284 side of square 
= .66 bh 
= 0.7854 d1 d2 
Area of any figure of four or more unequal sides is found by dividing it into triangles, finding areas of each and adding together.

Surface Area

= 6b² 
= πd² 
= .5 cbh (slant height) 
= πdh 
= πdh + 2πr2 
= ab + c of base x .5h (slant height) 

Volume

= b³ 
= 0.5236 d³ 
= .33 abh 
= .33 abh 
= πr²h 

Table of polygons

= side of polygon. 
= Radius of circumscribed circle. 
= Radius of inscribed circle. 
= Angle formed by the intersection of the sides. 
NameNo of sidesAngle
Trigon360°
Pentagon5108°
Hexagon6120°
Octagon8135°
Decagon10144°
Area of any regular polygon = Radius of inscribed circle x 1/2 number of sides x length of one side.

Right Angle Triangles

Enter any two values on the illustration for live calculations.

°
1 in

Triangle Values

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FindGiven Solution
A a, b tan A = a / b
  a, c sin A = a /c
  b, c cos A = b / c
B a, b tan B = b / a
  a, c cos B = a / c
  b, c sin B = b / c
a A, b b tan A
  A, c c sin A
  b, c √ c² - b²
b A, a a / tan A
  A, c c / cos A
  a, c √ c² - a²
c A, a a / sin A
  A, b b / cos A
  a, b √ a² + b²
Area a, b ab / ²
 

To Find a Right Angle

Draw a line ab 3x long. At point a scribe an arc 4x long.
At point b scribe an arc 5x long to intersect a c.
Join ac and b, ac and ab are at 900.

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Clause: 
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Clause Number: 
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Revision Category: 
2 - Editing and rearrangement
Revision Detail: 

Renamed from "Geometry And Mensuration" to "Geometry And Measurement".

Draft Clause: 
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