3 years ago

A circle with circumstance 12 has an arc with 48 central angle. what is the length of the arc?

2 answers:

kogti [31]3 years ago

6 0

I guess that is 14.26
Im not really sure !

Semmy [17]3 years ago

6 0

A full circle is 360 degrees.

The arc length would be 48/360 of the full circumference.

12 x 48/360 = 576/360 = 1.6

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We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation:

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$\begin{gathered} b+2b+(b+16)=180 \\ \Rightarrow4b+16=180 \\ \Rightarrow4b=180-16=164 \\ \Rightarrow b=\frac{164}{4}=41 \\ b=41 \end{gathered}$

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