Advertisements
Advertisements
प्रश्न
In the following figure, O is the centre of the circle. Find the values of a, b, c and d
उत्तर
∠AOB = 2∠AOB
= 2 × 50°
= 100°
(Angle at the centre is double the angle at the circumference subtended by the same chord)
Also, OA = OB
`=>` ∠OBA = ∠OAB = C
∴ `c = (180^circ - 100^circ)/2 = 40^circ`
APPEARS IN
संबंधित प्रश्न
AB and CD are two equal chords of a circle with centre O which intersect each other at right
angle at point P. If OM⊥ AB and ON ⊥ CD; show that OMPN is a square.
Given O is the centre of the circle and ∠AOB = 70°. Calculate the value of:
- ∠OCA,
- ∠OAC.
In the following figure, O is the centre of the circle. Find the value of a, b, c and d.
Calculate:
- ∠CDB,
- ∠ABC,
- ∠ACB.
In following fig., chords PQ and RS of a circle intersect at T. If RS = 18cm, ST = 6cm and PT = 18cm, find the length of TQ.
The line joining the midpoints of two chords of a circle passes through its center.
Prove that the chords are parallel.
Given two equal chords AB and CD of a circle with center O, intersecting each other at point P.
Prove that:
(i) AP = CP
(ii) BP = DP
If two chords of a circle are equally inclined to the diameter through their point of intersection, prove that the chords are equal.
AB and CD are two chords of a circle such that AB = 6 cm, CD = 12 cm and AB || CD. If the distance between AB and CD is 3 cm, find the radius of the circle.
In the adjoining figure, PQ is the diameter, chord SR is parallel to PQ. Give ∠ PQR = 58°.
Calculate:
(i) ∠ RPQ,
(ii) ∠ STP ( T is a point on the minor arc)
