Create an animated explainer solving this problem step-by-step:...

Create an animated explainer solving this problem step-by-step: Problem A circle has center O and radius 10 cm. A chord AB has length 16 cm. Find: 1. The perpendicular distance from the center O to chord AB 2. The area of triangle AOB 3. The area of the minor sector AOB 4. The area of the minor segment cut off by chord AB Build the solution visually from one persistent circle diagram. Start by drawing the circle with center O. Draw chord AB = 16 cm somewhere below the center. Then draw a perpendicular from O to AB meeting it at M. Explain visually that the perpendicular from the center to a chord bisects the chord. Therefore: AM = MB = 8 cm Now connect O to A and O to B. Label: OA = OB = 10 cm Focus on right triangle OMA. Use Pythagoras: OM² + AM² = OA² OM² + 8² = 10² OM² = 100 − 64 OM² = 36 Therefore: OM = 6 cm Then calculate the area of triangle AOB using: Area = ½ × AB × OM = ½ × 16 × 6 = 48 cm² Next, determine angle AOB. In right triangle OMA: sin(∠AOM) = 8/10 = 0.8 So: ∠AOM ≈ 53.13° Since OM bisects angle AOB: ∠AOB ≈ 106.26° Now calculate the minor sector area: Sector area = (106.26 / 360) × π × 10² Show the substitution clearly. Approximate: Sector area ≈ 92.73 cm² Finally calculate the minor segment area: Segment area = Sector area − Triangle area ≈ 92.73 − 48 ≈ 44.73 cm² Critical visual requirements Keep the same circle and chord on screen throughout the explanation. Do not generate unrelated diagrams for each step. As the solution progresses: - preserve the labels O, A, B and M - reveal OM after AB is already present - show the right-angle marker at M - visually split AB into two equal 8 cm halves - highlight triangle OMA when using Pythagoras - highlight triangle AOB when calculating triangle area - show angle AOM first, then visually expand it to angle AOB - shade the sector only when discussing sector area - then remove or distinguish the triangle portion so the remaining curved region clearly represents the segment - keep equations close to the geometry they refer to - animate equation transformations step-by-step instead of replacing the entire equation - preserve all previously solved measurements whenever useful By the final frame, show: OM = 6 cm Area of △AOB = 48 cm² ∠AOB ≈ 106.26° Sector Area ≈ 92.73 cm² Segment Area ≈ 44.73 cm² The viewer should clearly understand the difference between a triangle, sector, and segment from the animation itself.