two circular arcs, ab and xy share the same center, o. point a is on ox and b is on oy. what can be said about the relation of the lengths of ab and xy

Since both the arc are having center O and a & b are the points lieing on the OX and OY

therefore both the arc are having same angle at the center means Angle aob = angle xoy

we know that angle = arc=radius hence

angle aob = ab/oa or ab/ob (Since oa =ob =radius of arc)

similarly angle xoy = xy/ox or xy/oy (Since ox =oy =radius of arc)

since angles are equal there fore we can write

ab/oa = xy/ox

or , ab/xy = oa/ox = (radius of arc ab)/(radius of arc xy)

hence the ratio of the length of the arc will be corresponding to their radius ...

Is there anyway you can show me how to draw the figure if I was asked to?

wait

Does the figure mean XY has a greater or longer arc than AB? And why does XY overlap AB? Where is the radius?

XY arc is greater than Arc AB

OA , OB ARE radius of arc AB

and OX & OY radius of arc XY

I aspect very good remark and continued work from you ... Please select me your tutor

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