Question

Circle O has a circumference of approximately 250π ft. Circle O with diameter d is shown. What is the approximate length of the diameter, d? 40 ft 80 ft 125 ft 250 ft

Answer 1

Answer:

250 ft

Step-by-step explanation:

circumference of circle 'C' is defined as

C = 2πr

250π = 2πr

r = 250π/2π

r= 125

d = 2r = 2×125 = 250 .

diameter of the given circle is 250 ft

Answer 2

The diameter of the circle is 250ft

Data;

• Circumference = 250π
• diameter = d

Circumference of a Circle

The formula of circumference of a circle is given as

$c = 2\pi r$

Let's substitute the values in here and solve

$c = 2 \pi r\\250\pi = 2 \pi r\\r = 125ft$

The length of the radius is 125ft

But the length of diameter of a circle is twice the length of the radius

$d = 2r\\d = 2 * 125\\d = 250ft$

The diameter of the circle is 250ft

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