Question

Area and circumference of a circle with a diameter of 2 yd

Answer 1

c = 6.28

a = 1.34

Explanation:

If the diameter is 2 yds., then the radius is 1 yd.

Circumference:

c =
`\pi d`

c =
`\pi 2\\`

c = 6.28 Rounded to the hundredths place

Area:

a =
`\pi r^(2)`

a =
`\pi 1^(2)`

a =
`\pi 1`

a = 3.14 Rounded to the hundredths place

Answer 2

Hi there,

Here is the formula that you need to use to solve for the circumference and the area of a circle.

`C = \pi d= 2\pi r \\A = \pi r^(2)`

So in this case,
`r` is the radius of the circle

Thus,

`d = 2 == > r = (2)/(2) = 1\\C = 2\pi * 1 = 2\pi`

Now we do the math, to get to:

`C = 6.28` (approximately, and you only need to keep it to 2 decimal places)

So 6.28 is the circumference, but now we need to find the Area

`A = \pi * 1^2 = \pi`

So Area = 3.14 (approximately, to 2 decimal places)

Thus the answers are:

The circumference is 6.28 yards and the Area is 3.14 Square years

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Happy to help!