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

find the value of x and yz if y is between x and z xy=12, yz=2x, and xz=28
An adult ticket to the zoo cost $20,and a child's ticket cost $10.how much will it cost for mr. And mrs.brown and their four children to get into the zoo?
what is one fifth of 25
When France fell to the Nazis in 1940, President Roosevelt issued the first-ever ________ draft. A. wartime B. nationwide C. peacetime D. selective
Which of the following Latin roots means light as in not heavy? a. Miser b. Levis c. Vacillo d. Simulo
At the same time a 32-foot water tower casts a 14-foot shadow , a nearby light posts a casts a 7-foot shadow. How tall is the light post? a. 7 ft b. 12 ft c.
greatest whole number that rounds to 54,300
Seven less than twice a number equals 19
Which of the following is a correctly written compound word? A. Thirty one B. Quickly-running C. Self-evident D. Spur of the mom i think its c
what are mnemonic devices