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