Ratio of the circumference of a circle to its diameter is denoted by symbol _______.
Solution:
Given, ratio of the circumference of a circle to its diameter is denoted by symbol _______.
We have to fill in the blanks with suitable answers to make the statement true.
Diameter = d
Radius = diameter/2
r = d/2
So, d = 2r
Circumference of circle = 2πr
Where, r is the radius of circle
Circumference = πd
Ratio of circumference to diameter = πd/d = π
Therefore, the ratio of the circumference of a circle to its diameter is denoted by symbol π.
✦ Try This: Find the diameter of the circle, if its circumference is 66 cm.
Given, circumference of a circle disc is 66 cm
We have to find the radius of disc
Circumference of circle = 2πr
Where, r is the radius of circle
66 = 2 × 22/7 × r
66 = 44/7 × r
3 = 2/7 × r
r = 3(7)/2
r = 21/2
r = 10.5 cm
Diameter, d = 2r
= 2(10.5)
= 21 cm
Therefore, the diameter is 21 cm.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11
NCERT Exemplar Class 7 Maths Chapter 9 Problem 45
Ratio of the circumference of a circle to its diameter is denoted by symbol _______.
Summary:
Ratio of the circumference of a circle to its diameter is denoted by symbol π
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