Theorem 5: Arcs That Subtend Equal Angle at Center Are Equal
Trending Questions
In the given figure, O is the centre of the circle. Find the value of x.
30°
40°
50°
100°
The circumference of a circle with centre O is divided into three arcs APB, BQC and CRA such that
arc APB2 = arc BQC3 = arc CRA4. ∠ Find ∠ COA.
This situation holds no signifiance
OP need not be radius of circle
OP is perpendicular to XY
The angle between OP and XY is variable
In the given figure AB is the diameter of the circle. Find the value of y.
- 40∘
- 90∘
- 30∘
- 50∘
What is the relation between ˆAB and ˆCD?
ˆAB>ˆCD
ˆAB<ˆCD
ˆAB=ˆCD
ˆAB=12ˆCD
- 20∘
- 60∘
- 70∘
- 100∘
- 30∘
- 60∘
- 120∘
- Indeterminate
- ML = QR
- NL < QR
- ML > PR
- NL > PR
- 130
- 70
- 110
- 60
In the figure, lines AB and CD intersect at O.If ∠AOC+∠BOE=70∘ and ∠BOD=40∘, find ∠BOE and reflex ∠COE . [4 MARKS]
What is the sum of ∠TAQ and ∠TSQ?
- 100o
- 110o
- 120o
- 115o
- 60o
- 70o
- 50o
- None of the above
In the given figure, if ∠AOC=130∘, then the value of ∠ABC = _______.
95∘
115∘
50∘
100∘
What is the relation between ˆBC and ˆAD?
ˆBC>ˆAD
ˆBC=ˆAD
ˆBC<ˆAD
ˆBC=2ˆAD
- 60∘
- 40∘
- 50∘
- 25∘
The circumference of a circle with centre O is divided into three arcs APB, BQC and CRA such that
arc APB2 = arc BQC3 = arc CRA4. Find ∠BOA.
45∘
60∘
80∘
30∘
If ABCD is a cyclic quadrilateral with AB as the diameter of the circle and ∠ACD=50∘, then ∠BAD = ___.
80∘
70∘
50∘
40∘
- 80∘
- 40∘
- 60∘
- 70∘
- 70∘
- 60∘
- 80∘
- 50∘
- ∠P
- ∠Q
- ∠R
- ∠S
Find ∠CDE & ∠OBE.