What is the length of an arc of circle, knowing the central angle of (pi/4) and radius of 7cm?

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What is the length of an arc of circle, knowing the central angle of (pi/4) and radius of 7cm?

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Answer 1 · 2018-04-06T21:30:03

$l = 0.096 c m$ $l=0.096cm$

Explanation:

Length of arc, $l$ $l$ $=$ $=$ $\frac{θ}{360}$ $(theta)/360$ x $2 π r$ $2pir$
$θ = \frac{π}{4}$ $theta=(pi)/4$ , $r a d i u s = 7 c m$ $radius=7cm$
$H e n c e,, l = \frac{π}{4} \div 360$ $Hence,,l=(pi)/4÷360$ x $2 π r$ $2pir$
$\Rightarrow \frac{π}{4}$ $=>(pi)/4$ x $\frac{1}{360}$ $(1)/360$ x $2$ $2$ x $\frac{22}{7}$ $(22)/7$ x $7$ $7$
$\Rightarrow \frac{π}{1440}$ $=>(pi)/1440$ x $2$ $2$ x $(22)/cancel 7$ x $cancel7$
$=>(44pi)/1440$
$=>cancel44^11$ x $(22)/7$ x $(1)/cancel 1440^360$
$=>(242)/2520$
$l=0.096cm$
Pls check for any mistakes

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What is the length of an arc of circle, knowing the central angle of (pi/4) and radius of 7cm?

stuck on this HW question, any help appreciated!

1 Answer

Explanation:

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