Question

Find the radius and the diameter to the nearest hundredth when C = π yd. Use 3.14 for π.

Whats the radius in yards?
Whats the diameter in yards?

Answer 1

• The diameter is 1 yard.

• The radius is 0.5 yards.

Explanation:

Use the formula.

C = πd

1π = πd Substitute 1π for C.

1π

π = πd

π

Divide both sides by π.

1 = d Simplify.

Use the formula.

d = 2r The diameter of a circle is the same as 2 times the radius.

1 = 2r The diameter is 1. Substitute 1 for d.

1/ 2 = 2r/ 2

Divide both sides by two.

0.5 = r

The diameter is 1 yard.

The radius is 0.5 yards.

Answer 2

`r = 0.5 yards` and
`Diameter = 1 yards` .

Explanation:

Here we have , Find the radius and the diameter to the nearest hundredth when C = π yd. Use 3.14 for π. let's find out:

We know that circumference of circle =
`2\pi r`

According to question ,

`Circumference = \pi` So ,

⇒
`2\pi r = Circumference`

⇒
`2\pi r = \pi`

⇒
`(2\pi )/(2 \pi)r = (\pi)/(2 \pi)`

⇒
`r = (1)/(2)`

⇒
`r = 0.5 yards`

We know that ,
`Diameter = 2(radius)`

⇒
`Diameter = 2(0.5)yards`

⇒
`Diameter = 1 yards`

Therefore ,
`r = 0.5 yards` and
`Diameter = 1 yards` .