Question

measure of arc ac?

Answer 1

i think you would know arc radius relation that arc
\[x= r \theta\] where r is radius
by using this relation we can find relation
42= r*a
x = r*(pi -a)
by solving these two relations you would find x put pi=22/7

Answer 2

Here's an alternate way to do it, that does not imply that you've had any kind of trigonometry. This is just using basic geometry.

You have inside angles which are created by two intersecting chords. The angles that the chords create are all 90 degrees (There's 4 angles, they have to equal 360 degrees total, and two of them are 90 degrees, so all the others have to be 90 degrees as well; 4*90 = 360)

After you have found the inside angle that you need, <ABC or <DBE (they are the same since they are vertical angles), we can now find the arc AC that you need using the formula:
\[\angle ABC = \frac{ arc + arc }{ 2 }\]

Now plug in what you know, the arc you're given (42) and the angle ABC that you're given (90). Then simplify and get the other arc by itself by doing inverse operations.

I hope that helps!

Answer 3

So would i multiply instead of divide 42+90/2

Answer 4

@Stephanie1000000 can you post a quick screenshot of the material?

Answer 5

It wont let me screen shot because its a test sorry

Answer 6

Then this would be cheating isnt it?