Question

if a circle has a diameter of of 16 cm , and i need to find the ARC length of a sector within the circle that is 135 degrees , how do i figure out the arc length?

Answer 1

the fraction of the circle is based on the angle subtended is


\[\frac{135}{360} = \frac{3}{8}\]

circumference of a circle is

\[C =\pi d\]

the arc length is found by

\[l = \frac{3}{8} \times \pi d\]

just substitute your diameter measurement and evaluate

Answer 2

Find the angle in radians..
Now,
angle in radians=(length of arc)/radius

Answer 3

you don't need to convert to radians... its the angle subtended over 360

Answer 4

Or follow unitary method:
For 360 degrees, arc length= pi*d (i.e circumference)
For 135 degrees, arc length= pi*d*135/360

Answer 5

answer cold be 8pi correct they want me to answer a number and pi i gues how to get the answer

Answer 6

could*

Answer 7

6pi?

Answer 8

9.42

Answer 9

thats if you use pi as 3.14

Answer 10

so its 3/8 x pi x 16 = 6pi cm which is correct

or 6 x 3.14 = 18.84cm

Answer 11

18.84 is why i wrote 8pi

Answer 12

well doing the calculation only gives 6 pi

Answer 13

ok thx

Answer 14

if the diamter was 8 it be 2pi

Answer 15

if the diameter was 8 the arc length is 3/8 x pi x 8 = 3pi

Answer 16

The total circumference is 2*pi*r = 50.3
Now for 135 deg arc, it would be 135*50.3/360
That is 18.86

Answer 17

If the diameter of the circle is 8 cm, then the radius is 4 cm. its 2 pi
.

Answer 18

ok... 2 formula for the circumference of a circle

option 1 using d = diameter

\[C = \pi \times d\]

Option 2 using r = radius

\[C = 2\times \pi \times r\]

and given d = 2r or the diameter = 2 radii

I used the 1st formula... as the diameter was the given measurement.

Answer 19

here is a simple formula for you to follow in calculating the arc length l

\[l = \frac{\theta}{360} \times Circumference\]

Answer 20

sorry thanks

Answer 21

and theta is the angle at the centre

Answer 22

thats ok... just hope it helped