The vertices of a convex pentagon ABCDE are on a circle. Compute
∠ACE + ∠BDA + ∠CEB + ∠DAC + ∠EBD
The vertices of a convex pentagon ABCDE are on a circle. Compute ∠ACE + ∠BDA +...
Can someone explain if this is right and where we get
2pi/15???
Let ABCDE be a regular pentagon on the unit sphere S with each side equal to s and each angle equal to (4 π)/15. Find an exact value for cos(s). Note that as in Euclidean geometry, a regular pentagon on a sphere can be inscribed in a spherical circle) Let 0 be Centre of unttệpheve Aonbe) L ABCDE be hauue ) g": l+1-2(4) (1) cos ( 요ㅠ IS...
1.
Let ABCDE be a regular pentagon on the unit sphere S with each side
equal to s and each angle equal to 4pi/5. Find the exact value of
cos a. Noticed that as in Euclidean geometry a regular pentagon
called a spear can be inscribed in a spherical circle
The only ideas that can be used include: area ABC-RA2(A+B+C-Ipi), the Pythagorean theorem: Cos c-cos a cos b. Vectors-dot product cross product, sin A-sin a/sin c; coS A-COs a sin...
6. An equilateral triangle with vertices A, B, C is inscribed in a circle with center O Thus we have vectors a OA, b OB, c O (a) Compute the sum a+b+c. (Hint: compute the scalar product of a+b+c with itself.) give a physical answer in (a).
2. We distribute n points uniformly and independently on the circumference of a circle, and want to compute the probability that there is a semicircle that contain all of them. (In other words, the probability that there is a line through the center of the circle such that all n points lie on the same side of this line.) Let E be the event that such a semicircle exists. Denote by Pi, P2, ..., Pn the random points, and by...