Question

1. Radius of a circle with centre O is 41 cm. Length of a chord PQ is 80 cm. Find the distance of the chord from the centre of the circle.

2. ABCD is a parallelogram. If angle A = (4x + 13 ) and angle D = (5x-22). then find the measures of angle B and angle C.

3. In UJKL side IJ Il side KL. Angle I = 108 and angle K = 53 then find the measures of angle J and angle L.​

Answer 1

Step-by-step explanation:

We know that perpendicular drawn from the centre of the circle to the chord

bisects the chord.

PR = RQ = 40 unit

In A OPR,

OR2 + PR2 = OP²

⇒>> OR² + 40² = 41²

OR² + =

OR² = 81

→ OR = 9 unit

Thus, the distance of the chord from the centre of the circle is 9 units.