Okay, so “the radius of a circle is 1 yard, what’s the circles circumference?” (Please don’t round it needs exact) Can you also include the formula for solving + the formula for…

Question

asked Sep 8, 2024 39.1k views

1 Answer

Xhantar · Answer 1 · 2024-09-15T14:34:28+0000

Answer:

2π yards

Explanation:

You want the circumference of a circle with a radius of 1 yard.

When the radius is given, the formula for circumference is ...

C = 2πr . . . . . circumference for radius r

When the diameter is given, the formula for circumference is ...

C = πd . . . . . circumference for diameter d

For a radius of 1 yard, the circumference is ...

C = 2π(1 yard) = 2π yards

The circle's circumference is 2π yards.

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Additional comment

The diameter is twice the radius, so ...

d = 2r

That is, the diameter of the given circle is 2 yards. Using the second formula, we get ...

C = π(2 yards) = 2π yards

Rearranging the second formula, we can get the equation ...

π = C/d

That is, π (pi) is the ratio of the circumference to the diameter.