Question

4. The diameter of circle C is 18 cm. Chord AD is the same length as a radius. Use this information, the diagram, and your experiences in geometry this semester to answer these questions. (Use .)
a.) What are the measures of angles BDA and DBA?
b.) What is the sine of angle DBA?
c.) Find the length of arc AB to the nearest hundredth.
d.) How does the length of arc AD compare to the length of arc AB?
e.) If EF = BD, then what is the degree measure of arc EF?

Answer 1

@Brookie105 @Joel_the_boss @linn99123 @ash2326 @Pi123 @Aamirgsen

Answer 2

I am not sure of the answer but give me a moment and I will try to help you.

Answer 3

This is what I found when I tried searching it.

So EF is the length of an arc?

Well, you know that the chord is the same length as the radius: therefore, chord BD = 9. And because EF is the same length, EF = 9.
So now you have an arc, EF = 9.
Now all you have to do is to find the proportion of that arc to the circumference of the circle. As you know, the circumference is 2*π*r, and therefore, is 18π. Now to find the ratios.

The idea here is that the ratio of the ARC to the CIRCUMFERENCE is the same as the ratio of the DEGREE OF THE ARC to 360.
So write that as 9/(18π) = x/360, and solve for x.
x = (360*9)/(18π)
x = 3240/(18*π)
x = 180/π
And because you're using 3.14 for π...
x = 57.325


I hope this helps!!! Good luck! Let me know if I can help with anything else. I will try my best but math is not my best subject..

Answer 4

Here is a clearer way to see it.

Answer 5

thanx for the help bro

Answer 6

so how do i get the measure of dba then