think properties of 30-60-90 triangles ...
Hello
I have a question where I need to find the area of a circle inscribed, I think that's the right word, in a sector. The circle touches both straight edges of the sector and the arc. I know the angle of the sector, and the lengths of the two straight edges, 6 cm. I figure I need to find the radius of the circle.
I'm just after a hint. Thank you.
Hello, Furyan!
I need to find the area of a circle inscribed in a sector.
The circle touches both straight edges of the sector and the arc.
Angle of the sector is and the lengths of the two straight edges, 6 cm.
I figure I need to find the radius of the circle. . Right!
We have sectorCode:B * o * * * | * * * * | * * A o * |r * o C \ | / \ * |O * / \ * o * / \* | * r */ \ | * / * | * * 6 * | o \* | */ Q \ * * * / \ | / \ | / \30|30/ \ | / \|/ o P
Inscribed circle: center , radius
In right triangle
. . Hence: .
Since , we have: .