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Question
Fill in the blanks:
A circle divides the plane, on which it lies, in __________ parts.
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Solution
A circle divides the plane, on which it lies, in three parts.
RELATED QUESTIONS
n Fig. 2, PQ and PR are two tangents to a circle with centre O. If ∠QPR = 46°, then ∠QOR equals:
(A) 67°
(B) 134°
(C) 44°
(D) 46°
Write True or False. Give reason for your answer.
A circle is a plane figure.
In the fig below, it is given that O is the centre of the circle and ∠AOC = 150°. Find
∠ABC.
Use the figure given below to fill in the blank:
Diameter of a circle is ______.
In figure, O is the centre of a circle, chord PQ ≅ chord RS. If ∠POR = 70° and (arc RS) = 80°, find
- m(arc PR)
- m(arc QS)
- m(arc QSR)
If a chord AB subtends an angle of 60° at the centre of a circle, then angle between the tangents at A and B is also 60°.
If angle between two tangents drawn from a point P to a circle of radius a and centre O is 60°, then OP = `asqrt(3)`
If AB is a chord of a circle with centre O, AOC is a diameter and AT is the tangent at A as shown in figure. Prove that ∠BAT = ∠ACB
If A, B, C, D are four points such that ∠BAC = 30° and ∠BDC = 60°, then D is the centre of the circle through A, B and C.
AB is a chord of a circle with centre O. AOC is diameter of circle, AT is a tangent at A.
Write answers of the following questions:
- Draw the figure using the given information.
- Find the measures of ∠CAT and ∠ABC with reasons.
- Whether ∠CAT and ∠ABC are congruent? Justify your answer.
