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

an item has a price tag of $35 and another tag that says 20% off what is the sale price?
Which of the following are the jovian planets? Jupiter, Saturn, Uranus, and Neptune only only Jupiter and Saturn everything past Mars and the asteroid bel
A car can travel 476 miles on 14 gallons of gas. Write an equation relating the distance d to the number of gallons g. How many gallons of gas does this car nee
Which nation was especially worried about Japan’s victory in the Sino-Japanese War?
on field day, 1/10 of the students in Mrs. Brown's class competes in jumping events, 3/5 of the student competes in running events, and 1/10 competed in throwin
how many forms of the supreme god are there in the hindu triumvirate
The length of one side of a square city block is 462 meters. what is the perimeter of the block
how many forms of the supreme god are there in the hindu triumvirate
find the product. tell which strategy you used. 4X6x50
how does place value help me to divide