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

There are 5 red balls,6 white balls and 7 green balls in a box.If one ball is taken without looking,what is the probability that it is white?
algae do not cause disease or not
A 3.7 kg object is lifted to a Hight of 3 meters what is the potential energy of this object
An element with mass 1000 grams decays by 14.8% per minute. How much of the element is remaining after 11 minutes, to the nearest 10th of a gram?
write the equation in function form.then graph the equation x-3y=-9 ???
What what handels full name
write the equation in function form then graph it 5x-2y=6 thx to the ppl who help
write the equation in function form.then graph the equation x-3y=-9 ???
Calculate the speed of a 3.5cm sound wave of frequency 8000Hz
in a geometric series t1=23,t3=92 and the sum of all of the terms of the series is 62813. How many terms are in the series