Question

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.

Answer 1

`\sf Hello!`

•
`\sf Radius, \:r = 8\: in.`


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

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

Answer 2

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