The worlds largest flower, the Rafflesia, has a circumference of 286 centimeters. Find the approximate diameter of the flower. Use 3.14 for pie. Round to the nearest hundredth if necessary.

Respuesta :

Given:

The worlds largest flower, the Rafflesia, has a circumference of 286 centimeters.

To find:

The diameter of the flower.

Solution:

We know that, the circumference of a circle is:

[tex]C=2\pi r[/tex]

Where, r is the radius.

[tex]C=(2r)\pi [/tex]

[tex]C=d\pi [/tex]                            [tex][\because 2r=d][/tex]

Where, d is the diameter.

Putting [tex]C=286, \pi=3.14[/tex] in the above formula, we get

[tex]286=d(3.14)[/tex]

[tex]\dfrac{286}{3.14}=d[/tex]

[tex]91.0828=d[/tex]

[tex]d\approx 91.08[/tex]

Therefore, the diameter of the flower is about 91.08 centimeters.

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