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?

Respuesta :

[tex]r = 0.5 yards[/tex] and  [tex]Diameter = 1 yards[/tex] .

Step-by-step 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  = [tex]2\pi r[/tex]

According to question ,

[tex]Circumference = \pi[/tex] So ,

⇒ [tex]2\pi r = Circumference[/tex]

⇒ [tex]2\pi r = \pi[/tex]

⇒ [tex]\frac{2\pi }{2 \pi}r = \frac{\pi}{2 \pi}[/tex]

⇒ [tex]r = \frac{1}{2}[/tex]

⇒ [tex]r = 0.5 yards[/tex]

We know that , [tex]Diameter = 2(radius)[/tex]

⇒ [tex]Diameter = 2(0.5)yards[/tex]

⇒ [tex]Diameter = 1 yards[/tex]

Therefore ,  [tex]r = 0.5 yards[/tex] and  [tex]Diameter = 1 yards[/tex] .

Answer:

  • The diameter is 1 yard.
  • The radius is 0.5 yards.

Step-by-step explanation:

Use the formula.

C = πd

1π = πd Substitute 1π for C.

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.

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