avinusia
contestada

The base of a merry-go-round spans an area of about 153.88 square meters What is the radius of
the merry-go-round?
Nysean says the radius of the merry-go-round is 14 meters. Do you agree or disagree? Explain.

Respuesta :

semsee45

Answer:

Disagree

radius = 7 m

diameter = 14 m

Step-by-step explanation:

Formula

[tex]\sf Area\:of\:a\:circle=\pi r^2[/tex]

Given:

  • area = 153.88 m²

Substitute given value into the formula and solve for r:

[tex]\sf \implies \pi r^2=153.88[/tex]

[tex]\sf \implies r^2=\dfrac{153.88}{\pi}[/tex]

[tex]\sf \implies r=\sqrt{\dfrac{153.88}{\pi}}[/tex]

[tex]\sf \implies r=6.998680253[/tex]

Therefore r ≈ 7 m

So I disagree with Nysean, as from my calculations, the approximate radius of the merry-go-round is 7 m.

Diameter = 2r

⇒ diameter of merry-go-round = 2 x 7 = 14m

So Nysean has actually given the approximate measure of the diameter rather than the radius.

Otras preguntas