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

How is shellfish differ than other fish?
Mo: My number has two periods. One period has a 7 in the hundreds place. The other has an 8 in the tens place. Bo: My number also has two periods. One has a 1
The coastline of the USA is 12,383 miles long. Canadas's coastline is 113,211 longer than the coastline of the USA. How long is the coastline of Canada
on a 6-sided die, what is the probability of rolling an even number that is not 4? 1/6 1/3 2/3 5/6
what is the surface area of a square pyramid with base side lengths of 10 inches and a slant height of 14 inches
where is 33 degrees north, 4 degrees west
Brenda is 4 years older than Walter, and Carol is twice as old as Brenda. Three years ago, the sum of their ages was 35. How old is each now?
label the place value of 987,164.302
Complete the equation and tell which property you used (3x10)x8=_x(10x8)
Solve this equation using an algebraic method: (x + 4)( x - 4) = 9. Please use your own answer :)