vidalmari6p99qfk
vidalmari6p99qfk vidalmari6p99qfk
  • 01-02-2020
  • Mathematics
contestada

Approximate the area of a circle of radius 3 using a circumscribed regular hexagon.What is the percent error IN TERMS OF PI of the approximation?

Approximate the area of a circle of radius 3 using a circumscribed regular hexagonWhat is the percent error IN TERMS OF PI of the approximation class=

Respuesta :

MathPhys
MathPhys MathPhys
  • 02-02-2020

Step-by-step explanation:

The hexagon can be divided into six equilateral triangles.  The height of each triangle is 3, so using 30-60-90 triangle properties, the base is 2√3.

That means the area of each triangle is:

A = ½ (2√3) (3)

A = 3√3

So the area of the hexagon is 6A = 18√3.

The percent error is:

(18√3 − 9π) / 9π × 100%

(2√3/π − 1) × 100%

Answer Link

Otras preguntas

During the Cold War, what was the main concern of the United States?
Which formula represents an organic compound? ( l) CaH2 (3) H2O2 (2) C4H8 (4) P2O5
Solve for x. 6x - 2 = 5x - 7 - 3x
Compared to the charge of a proton, the charge of all electron has (1) a greater magnitude and the same sign (2) a greater magnitude and the opposite sign (3)
What are two ways that Americans can participate in their democracy?
What is the gram-formula mass of Fe(NO3)3? (1) 146 g/mol (3) 214 g/mol (2) 194 g/mol (4) 242 g/mol
In terms of entropy and energy, systems in nature tend to undergo changes toward (1 ) lower entropy and lower energy (2) lower entropy and higher energy (3) hig
What is one right or freedom from the First Amendment?*
What does the judicial branch do?
Who was President during World War I?