khadijahammad33
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hey guys1 I'm really stuck on part b of this question so can anyone help?

A circle with centre O and radius 8cm passes through points A and B such that OAB is an equilateral triangle. the point P is on the major arc AB. Find, in terms of pi,
(a) the size of the angle APB,
(b) the perimeter of the major segment ABP.


for (a) I got pi/6 radians and for part b I just cant thing of what equations I need to use and how it would work for the circle
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ghostwalker
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(Original post by khadijahammad33)
hey guys1 I'm really stuck on part b of this question so can anyone help?

A circle with centre O and radius 8cm passes through points A and B such that OAB is an equilateral triangle. the point P is on the major arc AB. Find, in terms of pi,
(a) the size of the angle APB,
(b) the perimeter of the major segment ABP.


for (a) I got pi/6 radians and for part b I just cant thing of what equations I need to use and how it would work for the circle
Just ignore this post - brain fart!
Last edited by ghostwalker; 1 year ago
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Name:  Untitled.png
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Size:  17.9 KB I think this is how she approached the first part.
(Original post by ghostwalker)
Part (a) is incorrect. P lies on the major arc, not the minor arc.

Part (b), Perimeter is simply the sum of the radii and the arc length. And when \theta is in radians, the arc length, s, is given by s=r\theta
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ghostwalker
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(Original post by : ).)
Name:  Untitled.png
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Size:  17.9 KB I think this is how she approached the first part.
Makes sense.

I was thinking of the angle subtended by the major arc. Misinterpreted.
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khadijahammad33
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(Original post by ghostwalker)
Part (a) - Fine (Edit: corrected - see : ). below.)

Part (b), Perimeter is simply the sum of the radii and the arc length. And when \theta is in radians, the arc length, s, is given by s=r\theta
could you possibly show a diagram of what the major segment ABP is as im still unsure about which part it literally is - like outline it? that would help so much
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khadijahammad33
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yep that's how I did it : )
(Original post by : ).)
Name:  Untitled.png
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ghostwalker
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(Original post by khadijahammad33)
could you possibly show a diagram of what the major segment ABP is as im still unsure about which part it literally is - like outline it? that would help so much
Ignore what I said previously. For some reason I was thinking of sectors rather than segments.

I would interpret part (b) to refer the the area in the attached diagram (part cribbed from : ). - ta!)

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bwahaha...cute!! .

perimeter = arc length (AB major segment) + 8
(Original post by ghostwalker)
Just ignore this most - brain fart!
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khadijahammad33
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thanks very much
(Original post by ghostwalker)
Ignore what I said previously. For some reason I was thinking of sectors rather than segments.

I would interpret part (b) to refer the the area in the attached diagram (part cribbed from : ). - ta!)

Name:  Untitled.png
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khadijahammad33
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oh is the length of AB (chord) 8?
(Original post by : ).)
bwahaha...cute!! .

perimeter = arc length (AB major segment) + 8
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..the radius of the circle is 8cm...and it is an equilateral triangle
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(Original post by khadijahammad33)
oh is the length of AB (chord) 8?
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khadijahammad33
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right yeah thanks idk why I even asked that q
(Original post by : ).)
..the radius of the circle is 8cm...and it is an equilateral triangle
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