Question

in the diagram above, the radius of the circle is 20 units and the length of arc AB is 15pi units. what is the measure in degrees of angle aob

Answer 1

\[\theta=\frac{ l }{ r},\in radians\]
\[then \pi radians=180 degree ,1 radian =\frac{ 180 }{\pi } degrees \]
here r=20
\[l=15 \pi \]
simplyfy

Answer 2

i want to find the degrees of AOB

Answer 3

\[First find \theta \in radians then convert \it \to degrees by the formula i wrote\]

Answer 4

cant understand what u said

Answer 5

Basically 1 radian = 180° / PI
So 1 radian = 57.2957795131 degrees

Answer 6

\[\theta=\frac{ 15\pi }{ 20 } radians=\frac{ 15\pi }{ 20 }\times \frac{ 180 }{ \pi } \]
solve it

Answer 7

i got 135

Answer 8

and wolf i said the degrees of aob no radius

Answer 9

good

Answer 10

so that is the answer

Answer 11

yes

Answer 12

ok

Answer 13

and thx for the help wolf1728

Answer 14

lalaioio
I typed a way to convert radians to degrees
1 radian = 57.2957795131 degrees
surjithayer said the angle is 15*PI/20 radians
So if you multiply 15*PI/20 radians * 57.2957795131 do you know what you get?

Answer 15

but the way u solve it is hard for me to understand