Question

What are the diameter and radius of a circle with a circumference of 32π ft? A. d = 16 ft r = 8 ft B. d = 32 ft r = 16 ft C. d = 16 ft r = 32 ft D. d = 8 ft r = 16 ft

Answer 1

The circumference of a circle is 2PiR
We have 32Pi, so we can divide 32 by 2 to get the radius
The radius is 16.
The diameter is 2x the radius.
The diameter is 32.
Your answer is B.)

Answer 2

The diameter of the circle is 32 ft and the radius of the circle is 16 ft if the circumference of 32π ft option (B) is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We know the perimeter of the circle = 2πr

W have the perimeter of the circle = 32π ft

2πr = 32π

r = 16 ft

Diameter of the circle = double the radius = 2(16) = 32 ft

Thus, the diameter of the circle is 32 ft and the radius of the circle is 16 ft if the circumference of 32π ft option (B) is correct.

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