Question

How do I tackle this question? : Calculate the length of arc of a sector of a circle with a radius of 5mm and an area of 5.25mm2.

Answer 1

use the proportion of :
length of arc/circumference of circle = area of sector/area of circle

Answer 2

so do I need to first calculate the circumference of the circle?

Answer 3

yes...use this equation: \[C=2πr\]

Answer 4

let me know what you get

Answer 5

For the circumference I got 31.42mm (2dp)

Answer 6

good...now can you do the rest or still need help

Answer 7

So at the moment I've got this: \[Length of arc \div 31.42 = 5.25 \div area of circle\]

Answer 8

Area of circle = pie x rad^ 2

Answer 9

Which is 78.54mm^2 (2dp)

Answer 10

ok so to find the area of the circle use this \[A=πr\]

Answer 11

yeah you got it

Answer 12

overall I got 2.1mm (2dp) as my answer for the length of the arc

Answer 13

very good.

Answer 14

I don't think you'll have much trouble with this anymore

Answer 15

You've got it

Answer 16

Thank you :)

Answer 17

you're welcome