• Pitch circle diameter d 5 = m N 5 = 375.0 mm Addendum circle diameter d a 5 = m (N 5 − 2) = 365.0 mm Dedendum circle diameter d d 5 = m (N 5 + 2.5) = 387.5 mm. Number of Planet Gears The number of necessary planet gears k is given by the assembly condition
• Points A, B, and C lie on a circle in that order so that the measure. of arc AB = 110 and the measure of arc BC = 120. What is the. measure in degrees of ? A) 55 B) 60 C) 65 D) 90 E) NOTA. In the figure, segment AB is tangent of circle O at A. If AB = 20 and BC = 12, find the length of OC. A) B) C) 55.25 D) E) NOTA
• In the accompanying diagram of circle O, COA is a diameter, O is the origin, = 1, and "IL BOA = 30. What are the coordinates of B? In the accompanying diagram of circle O, point O is the origin, YO = l, JO = 1, and TOY is a diameter. If the coordinates of point J are how many degrees are in the mLJOY ? 5. 6. s. 9.
• 1) A point P is 13 cm from the centre of a circle. The length of the tangent drawn from P to the circle is 12 cm, find the distance of point P from the nearest point of the circle. Solution : PA OA In Rt OAP, By pytha. Theo. OA2 = Op2 – Ap2 = 132 – 122 OA2 = 25 OA = 5 Nearest point of circle from point P is B. PB = OP – OB
• circle O from point P. If m (AC = 80 and m (AB = 60, what is the measure of OP? A. 10 B. 20 C. 60 D. 70 7. In the diagram below, PA is tangent to the circle at A and PBC is a secant. If m (AB = 80 and m BC = 100, what is mOAPB? 8. In the accompanying diagram,! AB is tangent to circle O at B and ACD is a secant. If mOA = 40 and m BD = 140, nd m ...
• The measure of an angle formed by a 2 secants drawn from a point outside the circle is half the the difference of the intercepted arcs: In the picture below, the measure of $$\angle x$$ is $$\frac 1 2$$ the difference of the arcs intercepted by the two secants.
• a. arc CAB ≅ arc FDE c. arc AB ≅ arc DE b. arc DF ≅ arc AC d. none of these Short Answer 4. Name the minor arc and find its measure. 5. In the circle, m(arc AD ) = 82, and m∠D = 79. Find m∠DCQ . (The figure is not drawn to scale.)
• Figure 2.5.1 Types of angles in a circle. An inscribed angle of a circle is an angle whose vertex is a point $$A$$ on the circle and whose sides are line segments (called chords) from $$A$$ to two other points on the circle. In Figure 2.5.1(b), $$\angle\,A$$ is an inscribed angle that intercepts the arc $$\overparen{BC}$$.