Find the area of the larger segment whose chord is 8" long in a circle with an 8" radius. Answer form must be A=(XXX/X PI + XX SQRT X) inches sq

Question

anonymous · Answer

can someone help me please? gold medle and fan

anonymous · Answer

Okay @aum, But what formula do i use to figure out the question

aum · Answer

Let me redraw the figure so it is clearer:

|dw:1411764241409:dw|

aum · Answer

What is the angle made by the chord AB at the center?  That is, angle AOB = ?

anonymous · Answer

8*8*8?

aum · Answer

No, I am asking for the ANGLE made by the chord AB at the center of the circle.

aum · Answer

If three sides of a triangle are all of equal lengths what is that triangle called?

anonymous · Answer

equallateral triangle. so each angle must be 60

aum · Answer

Correct.  Now convert 60 degrees to radians.

anonymous · Answer

divide them in half? so 30?

aum · Answer

No.  How do you convert an angle in degrees to radians?

aum · Answer

How many degrees in a full circle?
How many radians in a full circle?

anonymous · Answer

360 in a full circle
2 ?

aum · Answer

360 degrees in a full circle
$2\pi$ radians in a full circle.
So 360 degrees is $2\pi$ radians  or
180 degrees is $\pi$ radians.

To convert degrees to radians, multiply by  $\pi$ and divide by 180.

anonymous · Answer

would it be a decimal

aum · Answer

Sector AOB is the shaded area:
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