Question

lengin of the radius of the circle?
2. In a circle of radius 10 cm, a chord is drawn at
a distance of 6 cm from the centre. Find the
length of the chord.
3. In a circle, P is a point on the major arc AB
and Q is a point on the minor arc AB, if ZAPB
= 80°, find ZAOB.
4. ABCD is a cyclic quadrilateral. If ZADC =
100°, find ZABC.
5. AB and DC are two parallel chords drawn in
a circle such that AC is a diameter of the circle.
If AB =
4 cm find DC.
6. PQ and RQ are two equal chords in circle O.
If ZOOP = 20°, find ZOQR.
7. AB is a diameter of circle O. P is a point on
the circumference. Find ZAPB.
8. AB is an arc of circle O such that ZAOB = 140°.
P is a point on the major arc AB, find ZAPB.​

Answer 1

Step-by-step explanation:

In the given figure, ΔABC is an equilateral triangle. Find m∠BEC.

ANSWER:

It is given that, is an equilateral triangle

We have to find

Since is an equilateral triangle.

So

And

…… (1)

Since, quadrilateral BACE is a cyclic qualdrilateral

So , (Sum of opposite angles of cyclic quadrilateral is.)

Hence