# If the Circumference is 6 ft. What is the radius?

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We are given the circumference of a circle.  We are asked to find the radius.

We will use the formula Circumference = 2pi(radius)

=> C=2pi(r)

=> Substitute 3.14 for pi, and 6 for C

=> 6 = 2(3.14)r

=> 6 = 6.28r

=>  .955 =r

=>  The radius is approximately .96 ft.

taangerine | Student, Grade 12 | (Level 1) Valedictorian

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What we know:

• C= `2pir`
• C=6 ft
• `pi=3.14`

Combine first 2 equations.

• `6=2pir`

Divide `2pi` on both sides.

• `((6)/(2pi))=r`

Simplify

• r=`3/pi ft`

michaelcoffey | College Teacher | eNotes Newbie

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First, divide the given circumference by 3.14 to get the diameter.

6/3.14=1.91

1.91/2 = .955

sweetteach | Teacher | eNotes Newbie

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To find the radius of a circle using the given circumference we use the formula for finding Circumference.

C=2pi(r)

Using 3.14 for pi and 6 for the Circumference, we solve for r (radius).

6=2(3.14)r     (multiply 2 times pi)

6=6.28r         (divide each side of the equal sign by 6.28)

r≈.955           (the result is that r is approximately .955)

Rounding to the nearest hundredths place the radius is about .96 ft.