Styles Queen
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#1
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hi,the teacher went over this question but i didnt really understand it:the shape shown in figure 1(a sector with a circle in the middle and 60 degrees as the angle at the the top of sector) is a pattern for a pendant. It consists of a sector OAB of a circle centre O,of a radius 6cm,and angle AOB=60 degrees.The circle C,inside the sector, touches the two straight edges,OA and OB,and the arc AB as shown.Find the radius of circle C.
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ghostwalker
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(Original post by Styles Queen)
hi,the teacher went over this question but i didnt really understand it:the shape shown in figure 1(a sector with a circle in the middle and 60 degrees as the angle at the the top of sector) is a pattern for a pendant. It consists of a sector OAB of a circle centre O,of a radius 6cm,and angle AOB=60 degrees.The circle C,inside the sector, touches the two straight edges,OA and OB,and the arc AB as shown.Find the radius of circle C.
I suggest you drop a vertical from O, down to X say on the circumference. And I'd call the radius r.

What's the length of OX? And in terms of r? And take it from there.

For reference:

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sandonmyhand
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Hope this makes sense! Feel free to ask any questions
Last edited by sandonmyhand; 1 month ago
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ghostwalker
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#4
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(Original post by sandonmyhand)
Hope this makes sense! Feel free to ask any questions
Please read the forum guidelines - sticky thread at the top of the forum - and don't post full solutions.
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