Question

B 557 С А 71. In the given circle with centre 0, points A, B and Clie on the circumference such that ZABO = 55°. Find ZAOB and ZACB.​

Answer 1

Step-by-step explanation:

B 557 С А 71. In the given circle with centre 0, points A, B and Clie on the circumference such that ZABO = 55°. Find ZAOB and ZACB.

Answer 2

Answer:

Let the radius of a circle be x

So, OC=OD=x

As, OB=OE+EB

x=OE+4              [Since Ob is the radius and EB=4 cm given]

OE=x−4

We know that if a line drawn from the centre to the chord bisects the chord, then it is perpendicular to the chord

Hence, OE⊥CD

In △OED

OE2+ED2=OD2

(x−4)2+82=x2

x2+16−8x+64=x2

−8x+80=0

8x=80

x=10 cm

Thus, radius of the circle is 10 cm.