Question

Find the length of jK. Use 3.14 for n and round

your answer to the nearest tenth.
M< 70°
3 in.
к

Answer 1

jK is 3.7 inches long

Explanation:

Recall that the length of the circumference of a circle of radius "R" is given by the formula:

`Length=2\,\pi\,R`

which corresponds to the "arc length" with a central angle of
`360^o`,

so we can create the following proportionality:

`(2\,\pi\,R)/(360^o) =(JK)/(70^o)\\JK=(2\,\pi\,R\,(70^o))/(360^o) \\JK=(2\,\pi\,(3\,in)\,(70^o))/(360^o) \\JK=3.665\,\,in`

which can be rounded to the nearest tenth as: 3.7 in