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 A regular heptagon is inscribed in a circle of...

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See AlsoA chord PQ of a circle of radius r subtends an angle θat O, the centre of the circle, and another chord RS, which is parallel to P Q and lies between PQ and O, subtends an angle θ+(1)/(3) πat O. Show that the area A of that part of the circle which lies bA right circular cone of semivertical angle θis circ*mscribed about a sphere of radius R. Show that the volume of the cone is given by V=(1)/(3) πR^3(1+cosec θ)^3 tan^2 θand find the value of θwhen V is a minimum.  NumeradeIn the triangle A B C, the sides A B, A C are equal and contain an angle 2 θ. The circ*mscribed circle of the triangle has radius R. Show that the sum of the lengths of the perpendiculars from A, B, C to the opposite sides of the triangle is 2 R(1+4 sinθThe angle between the vectors a and bˉ is 60∘. Then the angle b...  Filo 
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A regular heptagon is inscribed in a circle of radius 17 , as shown below. Determine the area of the shaded region. Note: Keep your answers exact. Decimal approximations will be marked as incorrect. To present an angle in degrees, use the symbol in the MathPad symbol drawer or type deg. For example, sin(30deg). Area of the shaded region=
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