2022 · Q62
A circle of radius 25 cm has a chord of length 48 cm. What is the length of perpendicular drawn from the centre of the circle to the chord?
Elementary MathematicsCircles
- A5 cm
- B5.5 cm
- C6.5 cm
- D7 cm
Explanation
The perpendicular from the centre to a chord bisects the chord, giving a half-chord of 24 cm. With the radius 25 cm as hypotenuse, the distance is sqrt(25^2 - 24^2) = sqrt(625 - 576) = sqrt(49) = 7 cm. Hence option (d).