(a) In the figure given below, O is the centre of the circle. AB and CD are two chords of the circle, OM is perpendicular to AB and ON is perpendicular to CD. AB = 24 cm, OM = 5 cm, ON = 12 cm. Find the:
(i) radius of the circle.
(ii) length of chord CD.
(b) In the figure (ii) given below, CD is the diameter which meets the chord AB in E such that AE = BE = 4 cm. If CE = 3 cm, find the radius of the circle.
Solution:
More Solutions:
- In an equilateral triangle.
- Show that CA = 2 OD.
- If OE bisects ∠AED, Prove that AB = CD.
- AD is a diameter of a circle with centre O.
- Find the ratio of AB: CD.
- Prove that OC bisects the arc AB.
- Prove that the angle subtended.
- Prove that arc AD = arc CB.
- The line segment PQ is called a
- The circumference of a circle must be