Question

Consider a circle whose size can vary. Let r represent the radius of the circle (in cm) and let C represent the circumference of the circle (in cm). Suppose the function g determines the radius of the circle in cm, r , given its circumference in cm, C . Write a function formula for g . g ( C ) = What does g ( 15 ) represent in this context? Select all that apply. The circumference (in cm) of a circle whose radius is 15 cm. The radius (in cm) of a circle whose circumference is 15 cm. A circle with a circumference of 15 cm. A circle with a radius of 15 cm. If g ( a ) = 15 , what does a represent in this context? Select all that apply. The circumference (in cm) of a circle whose radius is 15 cm. A circle with a circumference of 15 cm. A circle with a radius of 15 cm. The radius (in cm) of a circle whose circumference is 15 cm.

Answer 1

Answer:

$g (15)$ represents the radius (in cm) of a circle whose circumference is 15 cm

if $g (a) = 15$, then a represents the circumference (in cm) of a circle whose radius is 15cm

Step-by-step explanation:

In a circle the following relationship can be posed:

$C = 2 \pi r$

Let g be a function that determines the radius of the circle from the value of its circumference, so, you have:

$g (C) =\frac{C}{2\pi}$

Thus, $g (15)$ represents the radius (in cm) of a circle whose circumference is 15 cm. You have to $g (15) =\frac{15}{2\pi}$.

On the other hand, if $g (a) = 15$, then $a$ represents the circumference (in cm) of a circle whose radius is 15cm. You have to $a=2 \pi(15) = 30 \pi$

Answer 2

g(15) represents the radius of the circle in this context.

Circumference of a circle

The formula for calculating the circumference of a circle is expressed as:

• $C =2\pi r$

If the radius of the circle is g(r)

$C = 2 \pi g(C)\\g(C)=\frac{C}{2 \pi}$

To get the value of g(15), you will substitute C = 15 into the formula

$g(15) = \frac{15}{2 \pi}$

g(15) represents the radius of the circle in this context.

Learn more on circumference of a circle here: https://brainly.com/question/9782777