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

Which equivalent fractions can you use to find the sum of 2/8 + 3/9?
Definition of climate change
what kinds of scientific investigations do not involve experiments
If x and y are both positive, when is x-y negative?
is 0.981 greater than less than or equal to 2.3
What is the most historically significant legacy of the Iroquois Confederacy? A. their assistance to the French in conflicts in Canada B. a system of govern
5X(squared) - 4X = 6 Solve for X
In what way did the Antifederalists criticize the Constitution?
Apart from its length, what else makes a short story different from a novel? A) A short story does not have the five phases in a plot diagram; only a novel does
If y varies directly as x and y is 180 when x is n and y is n when x is 5, what is the value of n?