Question

The number of radians in a 540540540-degree angle can be written as a\piaπa, pi, where aaa is a constant, what is the value of aaa ?

Answer 1

Using proportions, it is found that the value of a is of 3.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, a 180º angle has a measure of $\pi$ radians. What is the measure of a 540º angle? The rule of three is given by:

180º - $\pi$ rad.

540º - x $\pi$ rad.

Applying cross multiplication:

180x = 540.

x = 540/180 = 3.

The value of a is of 3.

More can be learned about proportions at brainly.com/question/24372153

Answer 2

Using proportions, the value of a is 3.

What is proportion?

Proportion is a mathematical comparison between two numbers.

When going from degrees to radians, 180 degrees is always going to equal π radians.

The conversion of angle from radian to degree;

$\rm 180-\ 1 \\\\540-a$

The value of a is;

$\rm \dfrac{180}{540}=\dfrac{1}{a}\\\\\dfrac{1}{3}=\dfrac{1}{a}\\\\1 \times a=1\times 3\\\\a=3$

Hence, the value of a is 3.

Learn more about proportions at;

brainly.com/question/24372153

#SPJ4