2024 · Q60
Consider the following for the next three (03) items that follow: Let MN be a chord of length 16 cm of a circle with centre at O and radius 10 cm. The tangents at M and N intersect at a point P. Further, OP intersects MN perpendicularly at Q. What is the area of triangle OMN?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A36 square cm
- B40 square cm
- C45 square cm
- D48 square cm
Explanation
From Q58, OQ = 6 cm is the perpendicular from the centre to chord MN (16 cm). Taking MN as the base of ΔOMN, its height is OQ = 6 cm. Area = ½ × 16 × 6 = 48 sq cm — option D.