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:

1. A circle with diameter 8 centimeters.

4. If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.

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

Step-by-step explanation:

(1st, there is no "circle shown below ")

1. A circle with diameter 8 centimeters. (assumed given)

2. The diameter is 8 cm and the radius is 16 cm. (no, R = D/2 = 4)

3. The circumference of the circle in terms of Pi is 8 pi. (No, C > 25)

4. If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm. (yes, C = 22/7 * 8 = 25.14)

5. The circumference of the circle rounded to the nearest whole number is 20 cm. (no, C is over 25)

6. If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm (yes, C = 3.14 * 8 = 25.12).

Statement (B) The circumference of the circle in terms of π is , statement (C) the circumference of the circle is approximately 25.14 cm, and statement (E) If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm are correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The missing figure is in the attached picture, please refer to the picture.

The diameter of the circle = 8 cm

The radius of the circle = 8/2 = 4cm

The circumference of the circle = 2π(4) = 8π cm

π = 22/7

The circumference of the circle = 8(22/7)

= 25.14 cm ≈ 25 cm (nearest to the whole number)

π = 3.14

The circumference of the circle = 8(3.14)

= 25.14 cm

Thus, statement (B) The circumference of the circle in terms of π is , statement (C) the circumference of the circle is approximately 25.14 cm, and statement (E) If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm are correct.

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