Advertisements
Advertisements
प्रश्न
In the below fig. O is the centre of the circle. Find ∠BAC.

Advertisements
उत्तर
WE have `/_AOB=80°`
and ∠AOC =110°
∴∠AOB+∠AOC+∠BOC=360°
⇒80°+110°+∠BOC=360°
⇒∠BOC=360°-80°-110°
⇒∠B0C=170°
By degree measure theorem
∠BOC=2∠BAC
⇒170°=2∠BAC
⇒∠BAC=`(170°)/2=85°`
APPEARS IN
संबंधित प्रश्न
Fill in the blank:
A circle divides the plane, on which it lies, in ............ parts.
Prove that a diameter of a circle which bisects a chord of the circle also bisects the angle subtended by the chord at the centre of the circle.
Given an arc of a circle, complete the circle.
If O is the centre of the circle, find the value of x in the following figure:

In the given figure, if ∠ACB = 40°, ∠DPB = 120°, find ∠CBD.

Prove that the angle in a segment greater than a semi-circle is less than a right angle.
In the given figure, two circles intersect at A and B. The centre of the smaller circle is Oand it lies on the circumference of the larger circle. If ∠APB = 70°, find ∠ACB.

If the given figure, AOC is a diameter of the circle and arc AXB = \[\frac{1}{2}\] arc BYC. Find ∠BOC.

The chord of a circle is equal to its radius. The angle subtended by this chord at the minor arc of the circle is
In the following figure, AB and CD are two chords of a circle intersecting each other at point E. Prove that ∠AEC = `1/2` (Angle subtended by arc CXA at centre + angle subtended by arc DYB at the centre).

