A circle has a circumference of 45 cm. What is the BEST estimate of the circle’s diameter?
Answers
It is given that the circumference of a circle is 45 cm.
From the properties of circle, we know that circumference of a circle is the product of diameter and π.
Circumference of circle = diameter x π = πd = 2πr, where r is the radius
Thus,
= > Circumference of this circle = 45 cm
= > Diameter x π = 45 cm
= > diameter x 22 / 7 = 45 cm
= > Diameter = 45 x 7 / 22 cm
= > Diameter = 14.318 bar cm which is approximately equal to 14.32 cm.
Hence the required approximation of diameter of the circle of circumference 45 cm is 14.32 cm.
Given :
The circumference of the circle = 45 cm
We know very well that the circumference of any circle = 2πr
So ,
According to the question :
2πr = 45 cm
2 × 22/7 × r = 45
r = 45 × 7/44 = 7.16 cm approximately
The radius of this circle = 7.16 cm
And Diameter = 2 Radius
= 2 × 7.16 cm = 14.32 cm
The approximate Diameter of the given circle is 14.32