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

The president has a variety of roles and powers identified by the Constitution. Identify and describe the one presidential roles you think is most important. Be
A solid sample of a compound a liquid sample of the same compound are each tested for elecrical conductivity.Which test conclusion indicates that the compound i
What is the Gcf for (12,16 &20
7(8+d) asap please help
What are the common compounds of argon
can someone help me please
Im what decade was martin Luther king jr. i have a dream speech given
simon a sculptor Made a design using one Type of Triangle This Triangle had Three acute angles and all sides were equal in length What Two labels could simon pu
how many days will it take a 14 year old boy to clean up trash for 12.5 hours at a low temperature of 47 degrees and high temperature of 69 degrees
f(5)=___? Look at the picture below.