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3 votes
The radius of a circle is 8 inches. find the number of radians in the central angle of the circle which intercepts an arc of 4 inches.

User Sumandeep
by
6.3k points

2 Answers

4 votes

\sf Hello!


\sf Radius, \:r = 8\: in.


\sf Circumference\: of\: the\: circle =
\sf 2π
\sf r = \sf 2\cdotπ\cdot \sf 8 = \sf 16π
\sf in.

\sf with\: central\: angle\: of\: 2π
\sf radians


\sf Then,


\sf Length\: of\: Arc =
\sf 4 \:in.


(\sf 4)/(\sf 16π) × \sf 2π =
(\sf 1)/(\sf 2) \: \sf radian

~
\sf iCarl
User Shinds
by
6.7k points
4 votes

Answer:

0.5

Explanation:

this says one half but that is not an option choice and some people may not realize that 0.5 is the equivalent

User Hafenkranich
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7.3k points