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Consider a circle whose size can vary. The circumference of the circle is always 2? times as large as its radius. Let r represent the radius of the circle (in feet) and let C represent the circumference of the circle (in feet). a. Write a formula that expresses C in terms of r. Preview b. Use your formula from part (a) to determine the circumference of a circle whose radius is 5 feet. feet Preview c. Write a formula that expresses r in terms of C. Preview d. Use your formula from part (c) to determine the radius of a circle whose circumference is 31.4159 feet. Preview 

          Consider a circle whose size can vary. The circumference of the circle is always 2? times as large as its radius. Let r represent the radius of the circle (in feet) and let C represent the circumference of the circle (in feet).

a. Write a formula that expresses C in terms of r.
Preview

b. Use your formula from part (a) to determine the circumference of a circle whose radius is 5 feet.
feet Preview

c. Write a formula that expresses r in terms of C.
Preview

d. Use your formula from part (c) to determine the radius of a circle whose circumference is 31.4159 feet.
Preview
Show more…
Consider a circle whose size can vary. The circumference of the circle is always 2? times as large as its radius. Let r represent the radius of the circle (in feet) and let C represent the circumference of the circle (in feet). a. Write a formula that expresses C in terms of r. Preview b. Use your formula from part (a) to determine the circumference of a circle whose radius is 5 feet. feet Preview c. Write a formula that expresses r in terms of C. Preview d. Use your formula from part (c) to determine the radius of a circle whose circumference is 31.4159 feet. Preview

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Consider a circle whose size can vary. The circumference of the circle is always equal to twice the radius of the circle (in feet), and let C represent the circumference of the circle (in feet). Write a formula that expresses C in terms of the radius. Use your formula from part (a) to determine the circumference of a circle whose radius is 5 feet. Write a formula that expresses the radius in terms of C. Use your formula from part (c) to determine the radius of a circle whose circumference is 31.4159 feet.
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Transcript

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00:01 So in this problem, you're told that you have a circle can have various sizes.
00:04 However, we know that the circumference of the circle is always 2 pi times as large as the radius.
00:09 So we're going to let r represent the radius circle, and i have c representing the circumference.
00:15 So in part a, what they want us to do is to find a formula to express c in terms of r.
00:19 Well, it says that c is, so that means c equals, it's 2 pi times the radius.
00:26 So it would be 2 pi times our radius, which is r.
00:29 So c is equal to 2 pi r.
00:31 So now we have a formula for circumference in terms of the radius.
00:34 Okay.
00:35 So now let's take a look at part b.
00:39 So in part b of this problem, they said to use the formula from part a to find the circumference of a circle whose radius is 5 feet.
00:47 Okay, so that means we're going to substitute 5 in place of r.
00:51 So c is going to equal to 2 pi times 5.
00:57 Well, 2 pi times 5 is equal to 10 pi.
01:00 So the circumference in this case would be 10 pi.
01:03 All right.
01:04 Now, let's take a look at part c.
01:07 So in part c, what they want us to do, oh, and i apologize...
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