A) Find the circumference of a circle whose radius Is 4 Inches. Round to the nearest tenth.b) Find the length of AB If m4ACB=60° and the radius of the circle is 4 Inches. Round …

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asked Sep 4, 2023 162k views

1 Answer

Schickling · Answer 1 · 2023-09-09T02:31:38+0000

To solve part a, we going to need the circumference of a circle formula

$2\pi r$

Being r the radius of the circle

So for our case:

$2\pi\cdot4=8\pi$

Answer a: 8pi or 25.1

Now for the part b, we got

So let's set out this equation

$((\pi)/(3))/(2\pi)=(\beta)/(2\pi r)$

In this case, beta is the length of AB and pi/3 is the conversion to radians of 60

Solving we get

$\begin{gathered} \beta=(\pi r)/(3) \\ \\ \beta=(4\pi)/(3) \end{gathered}$

Answer b: 4pi/3 or 4.1889