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

Answer:

0.5

Step-by-step explanation:

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

Answer 2

$\sf Hello!$

• $\sf Radius, \:r = 8\: in.$

$\sf Circumference\: of\: the\: circle$ = $\sf 2$π$\sf r = \sf 2\cdotπ\cdot \sf 8 = \sf 16$π $\sf in.$
$\sf with\: central\: angle\: of\: 2$π $\sf radians$

$\sf Then,$

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

$\dfrac{\sf 4}{\sf 16π} × \sf 2π$ = $\dfrac{\sf 1}{\sf 2} \: \sf radian$

~ $\sf iCarl$