Ratio of circumference of a circle to its radius is always 2π : 1. Is the given statement true or false?
Solution:
Given, the ratio of circumference of a circle to its radius is always 2π : 1.
We have to determine if the given statement is true or false.
Circumference of circle = 2πr
Where, r is the radius of circle
Circumference : Radius = 2πr : r
= 2π : 1
Therefore, the given statement is true.
✦ Try This: Find the ratio of circumference of a circle to its radius, if the diameter of circle is 4 cm.
Given, the diameter of circle = 4 cm
We have to find the ratio of circumference of a circle to its radius.
Radius = 4/2 = 2cm
Circumference of circle = 2πr
Where, r is the radius of circle
= 2π(2)
= 4π
Circumference : Radius = 4π : 2
= 2π : 1
Therefore, the ratio of circumference of a circle to its radius is 2π : 1.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11
NCERT Exemplar Class 7 Maths Chapter 9 Problem 68
Ratio of circumference of a circle to its radius is always 2π : 1. Is the given statement true or false?
Summary:
The given statement, “Ratio of circumference of a circle to its radius is always 2π : 1” is true
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