Carlos is shopping for a cap. He knows that his head circumference is 22inches. Which size of cap should he buy to fit his head best?

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01-05-2020
Mathematics

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Carlos is shopping for a cap. He knows that his head circumference is 22inches. Which size of cap should he buy to fit his head best?

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PhantomWisdom PhantomWisdom · Answer 1 · 2020-05-10T09:34:19+02:00

Step-by-step explanation:

The circumference of Carlos' head is 22 inches. He want to but a cap. He must know the size of the cap. The formula of circumference of circular shaped object is given by :

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

r is radius of cap

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{22}{2\pi}\\\\r=3.5\ \text{inches}[/tex]

or

Diameter of cap, D = 2 r = 7 inches

So, he must buy a cap that have diameter of 7 inches.