plz help Which statements are true about the circle shown below? Select three options.

A circle with diameter 8 centimeters.
The diameter is 8 cm and the radius is 16 cm.
The circumference of the circle in terms of Pi is 8 pi.
If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.
The circumference of the circle rounded to the nearest whole number is 20 cm.
If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm.

Respuesta :

Answer:

The circumference of the circle in terms of π is 8π.

If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.

If π is approximated to 3.14, the circumference of the circle is 25.12 cm.

Step-by-step explanation:

The circumference of the circle = 2*π*r

r = radius

r = d/2

r= 8cm/2 = 4cm

π = 3.14

The circumference of the circle = 2π(4)= 8π , so we have:

The circumference of the circle in terms of π is 8π.

Using pi = 22/7, we have:

The circumference of the circle = 2* 22/7 * 4 = 8* 22/7 = 25.14 cm, so we have:

If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.

Using pi = 3.14, we have:

The circumference of the circle = 2* 3.14 * 4 = 8* 3.14 = 25.12 cm, so we have:

If π is approximated to 3.14, the circumference of the circle is 25.12 cm.

Here we want to see which statement is correct about a circle with a diameter of 8cm.

The correct options are

  • "The circumference of the circle in terms of Pi is 8 pi."
  • "If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm."
  • "If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm."

Things that we must know about circles:

We know that for a circle of diameter D:

  • The radius is half the diameter, so R = D/2
  • The circumference is pi times the diameter, so C = pi*D
  • The area is pi times the radius squared: A = pi*R^2

So our circle of diameter of 8cm has:

  • Radius R = 8cm/2 = 4cm
  • Circumference C = pi*8cm = 3.14*8cm = 25.12cm
  • Area A = pi*(4cm)^2 = pi*16cm^2

And if pi = 22/7, the circumference is:

C = (22/7)*8cm = 25.14cm

Then the correct statements are:

  • "The circumference of the circle in terms of Pi is 8 pi."
  • "If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm."
  • "If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm."

If you want to learn more about circles, you can read:

https://brainly.com/question/11833983