Question

The circumference of the circle is 8m. What is its diameter?

Answer 1

Hint: In this problem, we have to find the diameter of a circle whose circumference is given. We know that for a circle with circumference, we can find the diameter. We know that the circumference of a circle is \[2\pi r\], we can now equate the given circumference value to the formula of the circumference to find the value of r which is the radius of the circle. We can double the radius which is the diameter of the circle.

Complete step by step answer:
We know that the given circumference of the circle is 8 m.
We know that the circumference of the circle is,
Circumference of the circle = \[2\pi r\]……. (1)
 We know that, we are given circumference value is,
\[\Rightarrow circumference=8m\] ……….. (2)
We can now equate (1) and (2), we get
\[\Rightarrow 2\pi r=8\]
We know that the value of \[\pi =3.14\], we can simplify the above step, we get
\[\Rightarrow r=\dfrac{8}{3.14\times 2}=1.27m\]
We can now double the radius, which is the diameter, we get
\[\Rightarrow d=2\times r=2\times 1.27=2.54\]

Therefore, the diameter of a circle with the circumference 8 m is 2.54 m.

Note: We should always remember some formulas in geometry, such as area or circumference of the circle. We should remember that the circumference of the circle is \[2\pi r\]. We should also know the value of \[\pi \] = 3.14 to substitute in these types of problems, whenever required. We should also remember that, we have to mention the unit after finding the answer for it.