A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of 2(pi)/3

1 answer:

6 0

$\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=&radius\\ \theta =&angle~in\\ &radians\\ \cline{1-2} r=&10\\ \theta =&\frac{2\pi }{3} \end{cases}\implies s=10\left( \cfrac{2\pi }{3} \right)\implies s=\cfrac{20\pi }{3}\implies s\approx 20.94$

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Step-by-step explanation:

Hi there!

Let x be equal to the smallest integer.

Let x+1 and x+2 be equal to the consecutive integers.

We're given that:

⇒ smallest integer + 2 × middle integer = 20 + largest integer

Construct an equation:

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Combine like terms:

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Therefore, the smallest integer is 10.

This makes the consecutive integers 11 and 12.

I hope this helps!

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