Question

Choose which statements are true about Pi. Check all that apply. Piis a whole number. Piis double the radius. Piis approximately 3.14. Pirepresents the ratio of the circumference to the diameter. Piis approximately StartFraction 22 over 7 EndFraction

Answer 1

Answer in explanation

Explanation:

In this question, we would be examining the validity of some statements on the number π(pi)

π Is a whole number?

This is wrong, π is a fraction of 22 to 7 parts I.e 22/7

π Is double the radius?

This is wrong. It is the diameter that is double the radius

π Is approximately 3.14?

This is correct to an extent. The actual value in decimal is around 3.142857142857143 which makes the 3.14 somehow correct

π represents the ratio of the circumference of the circle to the diameter?

This is correct.

Mathematically, circumference C = π * diameter D

Hence C/D = π

π Is approximately 22/7?

This is correct. This is the ratio used for π

Answer 2

• Pi is approximately 3.14.

• Pi represents the ratio of the circumference to the diameter

• Pi is approximately 22/7

Explanation:

From the options given:

A. Pi is a whole number:

Pi is equivalent to 3.141592654. Therefore, pi is not a whole number.

B. Pi is double the radius

Pi is not double the radius of a circle. Pi is a constant.

C. Pi is approximately 3.14.

In some cases, pi can be approximated as 3.14 instead of 3.141592654.

D. Pi represents the ratio of the circumference to the diameter.

Circumference of a circle, C = 2 × pi × radius

= 2 × pi × D/2 = pi × Diameter

Pi = circumference/Diameter

E. Pi is approximately 22/7

22/7 = 3.142857143

This is also a correct approximation.